World number four Rybakina rarely looked like being troubled by Sherif, easing to a 6-1 6-4 triumph, winning 22 of her 26 first-serve points on her way to victory.
The 2022 Wimbledon champion broke Sherif's serve twice in the first set to gain control of the match, before holding her serve five times in the second to ensure victory.
Also into the last 16 in Madrid are Yulia Putintseva and Daria Kasatkina, who beat Caroline Dolehide and Anastasia Pavlyuchenkova respectively, both in straight sets. However, world number seven and reigning Wimbledon champion Marketa Vondrousova is out after she was upset by Mirra Andreeva, losing 7-5 6-1.
Data debrief
In reaching the Madrid Open last 16, Rybakina again showed her class on clay. Her victory over Sherif saw her become only the fourth player in the last 10 years to win 14 straight WTA matches on clay, alongside Serena Williams, Simona Halep and Iga Swiatek.
Additionally, Rybakina's 475 winners at WTA-1000 events in 2024 are 112 more than the next best, Danielle Collins with 363.
Rybakina was hardly troubled as she reached the fifth grand slam quarter-final of her career with a 6-4 6-3 success, maintaining her record of not dropping a set at Roland Garros this year.
The world number four relied on her strong serve – winning 77 per cent of points behind her first serve – and quick movement to the net as she broke in the opening game of both sets.
Svitolina managed to break back on both occasions, only for Rybakina to find an extra gear and pull away in relative comfort, teeing up a last-eight clash with either Jasmine Paolini or Elina Avanesyan.
Data Debrief: Rybakina enjoying best year yet
Rybakina is into her ninth WTA-level quarter-final of 2024, which is already a career high for a single year and is also more than any other player on the tour this term (Iga Swiatek is second with eight).
The Kazakhstani is also just the second woman from an Asian nation to reach multiple grand slam quarter-finals on both clay and grass in the Open Era, after Kazuko Sawamatsu.
Kazakhstan's Rybakina, who is also the reigning Wimbledon Champion and Australian Open finalist, got the better of Badosa for the second time during her current run, also eliminating her from Indian Wells.
The 23-year-old has to be considered one of the favourites to go all the way, having knocked off world number one Iga Swiatek and world number two Aryna Sabalenka to lift the trophy in California.
Rybakina will meet Belgium's Elise Mertens in the fourth round after she beat Croatia's Petra Martic 6-4 6-3.
Meanwhile, the biggest upset of the day was delivered by Russia's Anastasia Potapova, bouncing sixth seed Coco Gauff 6-7 (8-10) 7-5 6-2.
Potapova, who has never won a tournament above the WTA 250 level, will face China's Zheng Qinwen for a spot in the quarter-finals after her three-hour 5-7 7-6 (7-5) 6-3 triumph over Liudmila Samsonova.
Latvia's Jelena Ostapenko, the 24th seed, eliminated Brazilian 13th seed Beatriz Haddad Maia 6-2 4-6 6-3, while 20th seed Magda Linette of Poland knocked out Belarusian 14th seed Victoria Azarenka 7-6 (7-3) 2-6 6-4.
Unseeded American Clare Liu went down 4-6 7-5 6-4 against Italy's Martina Trevisan, but third seed Jessica Pegula will continue to fly the flag for the United States after advancing 6-1 7-6 (7-0) in her all-American showdown with Danielle Collins.
Rybakina, 23, has been one of the most in-form talents in the sport this year, with her only two losses since the start of the Australian Open coming in three-setters against Aryna Sabalenka and Beatriz Haddad Maia.
The Kazakhstan representative produced 10 aces against Mertens on her way into the quarter-finals, becoming the first player this WTA season to finish with at least 10 aces in three consecutive matches.
She will look to keep her sparkling form alive when she meets Martina Trevisan for a spot in the semi-finals, after the Italian got the better of Latvia's Jelena Ostapenko 6-3 6-3.
Sabalenka showed why she is the top remaining seed after Iga Swiatek's withdrawal, beating 16th seed Barbora Krejcikova 6-3 6-2. Krejcikova was one of two players this season to beat Sabalenka – with Rybakina the other – and by avenging that defeat the Belarusian improved her record in 2023 to 20-2.
America's top hope Jessica Pegula needed only 79 minutes to eliminate Magda Linette 6-1 7-5, winning the first five games of the match to set the tone early, and she will now meet Russia's Anastasia Potapova in the quarters.
Potapova finished with just one ace compared to Qinwen Zheng's nine, but she showed enough guile to overcome the Chinese international's power advantage.
Romania's Sorana Cirstea kept her great run going with a 7-6 (7-3) 6-4 triumph over Marketa Vondrousova, making it eight wins from her past nine matches, and Bianca Andreescu was forced to retire through injury while down a set 7-6 (7-0) 0-2 against Ekaterina Alexandrova.
Reigning Wimbledon champion Rybakina battled past Jessica Pegula in the semi-finals of the Miami Open, scoring a 7-6 (7-3) 6-4 win to book a clash with Petra Kvitova or Sorana Cirstea in the title match.
In doing so, Rybakina set up the chance of sealing an Indian Wells and Miami back-to-back double, a feat that only four women have pulled off before: Steffi Graf (1994, 1996), Kim Clijsters (2005), Victoria Azarenka (2016) and Iga Swiatek (2022).
She also becomes just the sixth woman to appear in the finals of the Australian Open, Indian Wells and Miami in the same year after Monica Seles (1991), Graf (1994), Lindsay Davenport (2000), Martina Hingis (2000) and Maria Sharapova (2012).
The Williams accomplishment that Rybakina has matched stands as testament to the Kazakhstani player's serving prowess.
She has served at least 10 aces in each of her five matches in Miami, and Williams at Wimbledon in 2016 was the last player from the WTA Tour to serve 10-plus aces in five matches in a single tournament.
Rybakina lost to Aryna Sabalenka in the Australian Open final in January but has put that behind her and enjoyed a stellar March. She beat Swiatek in the Indian Wells semi-finals before toppling Sabalenka in the final, and now another chance of a trophy awaits.
Discussing the challenge of completing the hard-court US double, Rybakina said: "It's really difficult, and because of different conditions in these two weeks by the matches you could see that it's much more difficult for me here than even in Indian Wells.
"It's just the finals, still close but the same time far. The Sunshine Double, I try my best, and hopefully I can make it. I didn't expect to be in the final. I knew that it was going to be very tough from the beginning, from the first match. And it was, actually. First two matches was really tough."
She came through dicey three-setters against Anna Kalinskaya and Paula Badosa before kicking on, winning in straight sets against Elise Mertens, Martina Trevisan and Pegula.
"Actually, the whole two weeks were really tough," Rybakina said after seeing off Pegula late on Thursday. "I'm happy to be in another final."
With her runs in Indian Wells and Miami, the Russian-born 23-year-old has already won 13 main-draw matches at WTA 1000 level in 2023, matching her personal best for an entire season, achieved last year.
The fourth seed wrapped up a 6-4 6-2 win in 67 minutes on Court Philippe-Chatrier, to book a last-16 clash with either Elina Svitolina or Ana Bogdan.
Rybakina was forced to withdraw injured on the eve of her third-round showdown with Sara Sorribes Tormo at Roland-Garros 12 months ago.
A tight opening set ensued with four successive games from 2-2 going against the serve, but a crucial break to love in the 10th saw the former Wimbledon champion draw first blood.
She then broke to 15 in game four of the second set to take control of the match, before another in the eighth saw her into the fourth round in Paris for a second time.
Rybakina is joined in the last 16 by home favourite Varvara Gracheva, who continued her groundbreaking run with a straight-sets win over Irina-Camelia Begu.
The Moscow-born 23-year-old, who obtained French nationality last June, is into round four for the first time at a major.
Extending her stay into the second week, having stunned sixth seed Maria Sakkari in the opening round, Gracheva was serenaded with Les Marseillais by the crowd following her victory on Court Suzanne-Lenglen.
Data Debrief: Rybakina matches Swiatek and Jabeur
Rybakina becomes only the third player to reach the fourth round at multiple majors on clay and grass since the start of the 2020 season.
The 2022 Wimbledon champion joins an exclusive group of players to achieve the feat, along with Iga Swiatek and Ons Jabeur.
Having been forced to withdraw from the Italian Open due to illness earlier this month, Rybakina made a rusty start as she dropped serve in the opening game.
However, she quickly recovered her composure to produce a powerful performance, firing off 36 winners and forcing 10 break points – four of which were converted.
Moving well throughout and excelling at the net, Rybakina converted her second match point after 74 minutes on court, ensuring smooth progress to the second round.
Data Debrief: Rybakina ready to challenge Swiatek
Rybakina has been tipped to rival world number one Iga Swiatek at Roland Garros this year, and she now boasts a 9-1 record on clay for 2024.
Her win ratio on the surface this season stands at 90 per cent, with only Swiatek (93.8 per cent, 15-1) faring better on the WTA Tour.
The Australian Open finalist, who was runner-up to Aryna Sabalenka in Melbourne less than a fortnight ago, wrapped up a 6-4 6-2 win after just 69 minutes.
Looking to build on her momentum after reaching a second major final, the third seed broke the former world number one in the opening game of the first set and twice in the second.
Next up for the Kazakh is a showdown with sixth seed Beatriz Haddad Maia, who edged out Yulia Putintseva 6-4 6-7 (5-7) 7-6 (7-4).
Top seed Daria Kasatkina was forced to come from behind before eventually sealing her third victory over Jil Teichmann in as many meetings.
Last season's French Open semi-finalist has endured a mixed start to 2023. A finalist in Adelaide, she suffered a surprise first-round exit at the Australian Open.
It looked like Kasatkina's struggles would continue after losing the opening set 6-1, but she lost just two games thereafter to prevail a commanding 1-6 6-0 6-2 victor.
Elsewhere, Liudmila Samsonova reached her first quarter-final of the year after beating former French Open champion Barbora Krejcikova 7-5 7-6 (8-6).
Over in Linz, Melbourne quarter-finalist Donna Vekic enjoyed a commanding 6-3 6-1 victory over Madison Brengle to book a last-eight clash with top seed Maria Sakkari.
There were also wins for sixth seed Petra Martic and Clara Tauson over Alison Van Uytvanck and Camila Giorgi respectively, but fourth seed Anhelina Kalinina was beaten in straight sets by Anna-Lena Friedsam.
Siegemund won the first set on a tie break, but Kazakhstan representative Rybakina stormed back to win the second before winning a tense 10-8 tie break in the crucial third set, surviving a match point in the process.
The world number 25's victory sets up a second round meeting with Tereza Martincova, who overcame a poor first set to beat Harriet Dart 0-6 6-4 6-1.
At the Chennai Open, top seed Alison Riske-Amritraj was beaten in straight sets in an upset defeat to world number 147 Anastasia Gasanova.
There were no such upsets for the second and third seeds though, as Varvara Gracheva and Magda Linette both cruised to victory to clinch their safe passage to the second round.
Elsewhere, Katie Swan beat Arianne Hartono 6-1 6-2 while India's number one singles player Ankita Raina was knocked out of her home tournament by Tatjana Maria.
The world number four was on the brink of defeat at 5-2 down in the third set, with her fellow Kazakhstani Putintseva eyeing a third win in as many head-to-head meetings between the pair.
However, Rybakina came up with one of the shots of the tournament on Putintseva's first match point, capitalising on a drop shot clipping the net cord to produce a nonchalant winner.
The 2022 Wimbledon champion didn't look back from that moment on, producing back-to-back breaks before holding her nerve through a tense final service game, converting her fourth match point to wrap up a gruelling two-hour, 48-minute contest.
Rybakina has now won 16 successive matches on clay, and she will face either Aryna Sabalenka or Mirra Andreeva in the semi-finals on Thursday.
Data Debrief: Rybakina rampant
Rybakina is the form player on the WTA circuit, with Wednesday's win her 30th of 2024, more than any other player.
She is just the second player to win 30 or more matches in tournaments starting within the first four months of a calendar year, after Iga Swiatek managed 32 victories during the same span in 2022. Swiatek, of course, went on to win the French Open and US Open titles that season.
After abandoning a last-16 clash with Beatriz Haddad Maia last week in Stuttgart due to a back injury, this time Rybakina lasted the distance against Anna Kalinskaya but suffered a 7-5 4-6 6-2 defeat. She had benefitted from a first-round bye but was found wanting on Friday.
World number 60 Kalinskaya got the better of the seventh-ranked Rybakina in two hours and 13 minutes, avenging a defeat at the same stage in Miami last month to her fellow Moscow-born player.
Iga Swiatek made no such mistake in her opening match, after also receiving a first-round bye, with the world number one posting a 6-3 6-2 win over Austria's Julia Grabher.
Swiatek led by an early break in the second set but was broken back; however, she was soon back in the ascendancy and made sure of a place in the last-32 stage of a tournament she elected to miss last year due to a minor injury.
Third seed Jessica Pegula was tested by Poland's Magdalena Frech, but the American came through 7-6 (7-5) 6-3 in an hour and 41 minutes. Pegula was runner-up to Ons Jabeur in last year's final.
Pegula's fellow US player, Alycia Parks, continued to catch the eye as the 22-year-old ousted 15th seed Victoria Azarenka, defeating the former world number one 6-2 7-6 (7-5).
Parks, who has rocketed from 150th in the rankings last November to 40th place on that list, now holds a 4-1 career winning record against opponents ranked inside the WTA's top 20.
Former French Open champion Barbora Krejcikova, seeded 11th, was tested by Danka Kovinic before powering through a deciding set to win 6-3 4-6 6-0 against the Montenegrin.
Eugenie Bouchard, meanwhile, was no match for Martina Trevisan, with the Italian running out a 6-2 7-5 winner from a clash with Canada's former Wimbledon runner-up.
Anastasia Potapova, Ekaterina Alexandrova, Daria Kasatkina, Veronika Kudermetova and Bernarda Pera were among other seeded winners as the last-32 line-up took shape, but 25th seed Jil Teichmann was beaten, going down 3-6 6-2 6-4 to Lesia Tsurenko.
Rybakina defeated world number two Aryna Sabalenka 7-6 (13-11) 6-4 on Sunday to clinch the Indian Wells Open title.
It brought up a fourth singles title of her career, her maiden WTA 1000 trophy and her first success since winning Wimbledon last year.
Rybakina overcame Iga Swiatek in the last four, making her the first player since Garbine Muguruza at the 2017 Western & Southern Open to beat the world number one and two in the semi-finals and final of a single tournament.
The Kazakh will rise to world number seven after her success in the Californian desert, but when asked if the top of the rankings was her next target, Rybakina told Amazon Prime: "I'll try but first of all I just want to have the consistency, the most important thing is to stay healthy because it's still the beginning of the year.
"If I continue like this I have all the chance to be higher in the top 10, we'll see how it's going to go."
She added: "It feels amazing. I didn't expect two sets, I thought it would be a three-set battle. It wasn't easy, it was a bit windy, I lost the two games, I was getting nervous, but I managed to sort it out."
The two games Rybakina referred to came in the second set, when she went from 5-2 up to 5-4 before regaining her composure.
Rybakina had also come out on top in an almighty tussle in the first-set tie-break, with Sabalenka unable to then rediscover her best form during the second set.
Sunday's success marked Rybakina's first victory over Sabalenka – who she lost to in the final of this season's Australian Open – in five attempts.
Though Sabalenka is not planning on losing another one, as the Belarusian comically interjected during Rybakina's post-match on-court interview.
"I'll make sure it was the last one," Sabalenka quipped after Rybakina had explained "it was the first time it went my way" in a meeting with the 24-year-old.
"It's been always a pleasure to play against you and always the toughest battle," Rybakina continued.
"Hopefully I'll be back next year to defend this result."
Sabalenka was courteous in defeat, saying: "First of all Elena I want to congratulate you and your team on another amazing week. Hopefully we'll play in many more finals, hopefully next time it'll go to me!"
However, she was already focusing on putting the defeat behind her, with the Miami Open next up.
"For me it's quite easy. I think it's gonna stay in my head until tomorrow, and tomorrow we are flying to Miami and I will forget this one," she told reporters.
"The thing is helping me to stay focused and to keep winning is just to focus on myself and focus on the game and focus on things what I have to do on court to keep winning.
"This one was tough, especially in the finals, it's always tough to lose. You're one step to the trophy and you lose it. This one is really tough. But she's a great player."
The last five WTA titles at Indian Wells have now been won by players yet to turn 24, while Rybakina became the 25th female player to win the title.
Elena Rybakina kept her hopes of a ninth WTA title alive after beating Rebecca Sramkova, helped by a dominant second set showing.
The Kazakhstan representative broke Bogdan five times while saving all eight break points to seal a 6-1 6-1 triumph and reach a first final since her SW19 victory over Ons Jabeur in July.
In the final, Rybakina will face Katerina Siniakova after she overcame Anna-Lena Friedsam.
Siniakova stormed to the first set, but the second was a much closer affair and the world number 82 watched five match points come and go before she finally clinched a 6-1 7-5 success.
At the Chennai Open, Magda Linette will play Linda Fruhvirtova in Sunday's decider after coming through semi-final encounters in differing fashion.
Third seed Linette raced out to a 3-0 lead in the first set over Katie Swan before the Brit called a medical timeout after just 16 minutes of play, eventually retiring with illness.
Fruhvirtova's semi-final was a much more gruelling affair, as the 17-year-old came from a set down to overcome Nadia Podoroska 5-7 6-2 6-4 and reach her first WTA final.
Rybakina, who has struggled for consistency since victory at Wimbledon earlier this year, came back from a set down to dispatch Madison Keys with a 5-7 6-3 6-3 win.
She could face eighth seed Jelena Ostapenko in the next round, but one name not in the draw will be Azarenka, who could not claw back victory against Ekaterina Alexandrova in a 6-4 4-6 2-6 defeat.
Alexandrova is in line to play either Emma Raducanu or Daria Kasatkina in the next stage.
Meanwhile, top seeds Iga Swiatek and Paula Badosa earned the identity of their opponents after receiving first-round byes.
Swiatek will play Ajla Tomljanovic, who progressed in straight sets against Zhang Shuai, as Badosa faces Petra Kvitova, who was made to work a little harder in three by Bernarda Pera.
At the Jasmin Open, third, fifth and seventh seeds Alize Cornet, Elise Mertens and Katerina Siniakova each advanced with respective straight-sets routs of Laura Pigossi, Jaqueline Cristian and Chloe Paquet – the latter retiring as she trailed 4-0 in the second set.
But eighth seed Magda Linette is out after letting an early lead slip against Lucrezia Stefanini, who celebrated a 2-6 6-4 6-4 victory.
Rybakina, 25, added to her terrific recent head-to-head record against the 21-year-old Polish superstar, now with three consecutive straight sets victories since December.
The reigning Wimbledon champion, who became Kazakhstan's first grand slam winner, was all over Swiatek's serve from the jump.
The top seed ended up winning just 42 per cent (18-of-43) of her total service points, with Rybakina converting all five of her break point opportunities.
After taking the opening frame, Rybakina slammed the door shut by running out to a 5-0 lead in the second, hitting five aces in the set while Swiatek had just one for the match.
Rybakina will next face world number two Aryna Sabalenka in the decider after the Belarusian made similar light work of world number seven Maria Sakkari.
Sabalenka, who has dropped only one set en route to the final, needed just 85 minutes to advance 6-2 6-3. She created 10 break point opportunities compared to Sakkari's four, with the Greek talent not able to pull another rabbit out of the hat after four consecutive three-set victories.
It will be the sixth overall meeting between Rybakina and Sabalenka, and a rematch from the Australian Open final, when Sabalenka took it 4-6 6-3 6-4 to extend her head-to-head advantage to 4-1.
Only four women have ever claimed the Sunshine Double – which requires winning both the Indian Wells Open and Miami Open. Steffi Graf did it in both 1994 and 1996, Kim Clijsters did it in 2005, Victoria Azarenka accomplished the feat in 2016 and current world number one Iga Swiatek did it just 12 months ago.
Rybakina knocked off Swiatek and world number two Aryna Sabalenka in consecutive matches en route to the Indian Wells title, and she has now extended her winning streak to 12 with Tuesday's victory. Against Trevisan, Rybakina served another 10 aces compared to zero from the Italian.
In her fourth-round match the Kazakhstan representative became the first WTA player this season to post three consecutive matches with at least 10 aces, and with another she became the first woman since Serena Williams at the 2020 US Open to do so in four consecutive matches at the same tournament.
She needed just 27 minutes to race through the second set, and in the process she booked a semi-final against third seed Jessica Pegula.
America's top hope, Pegula had to come from behind against Russia's Anastasia Potapova in the 4-6 6-3 7-6 (7-2) result, saving two match points in the deciding set to force the pivotal tiebreaker.
The match was delayed for hours due to persistent rain, and the contest lasted two hours and 38 minutes, meaning they did not finish up on court until nearly 1:30am local time.
While consistently making it deep into major tournaments, Pegula only has two WTA singles titles to her name, and only once since the end of 2019.
With one more win she can book her spot in the final, and a chance to claim her second WTA 1000 crown after breaking through at the 2022 Guadalajara Open.
Fourth seed Rybakina made a flying start and took the opener within just 25 minutes, but Sabalenka hit back in a topsy-turvy second set featuring five breaks of serve to force a decider.
Both players were imperious on their own serve from there, with a tie-break required to split them. Sabalenka's power looked likely to overwhelm Rybakina as she raced into a 5-1 lead, but the former Wimbledon champion clung on by saving two match points on her own serve.
Sabalenka would not be denied third time around, though, a huge serve giving Rybakina no chance as the defending champion teed up a rematch with Swiatek, who she beat in the Spanish capital in last year's showpiece match.
Data Debrief: Sabalenka's unwanted record
Sabalenka has dropped 60 games at this year's Madrid Open. That makes her the player with the most games dropped en route to reaching the final since the tournament's inception in 2009.
The world number two had to dig deep in a match which saw Rybakina win more total points (99 to 95), but she will not mind one bit if she goes on to capture a third Madrid Open title on Saturday.
The number two seed won 7-6 (10-8) 7-6 (7-3), saving seven set points after going 5-1 down in the first set, before roaring back to take both tie-breaks.
Sabalenka will face Marketa Vondrousova in the quarter-finals, with the Czech having produced a dominant performance in a 6-0 6-4 win against Kaia Kanepi.
"When it's 1-5 down, it's like you have nothing to lose, and you just go for your shots without thinking," Sabalenka said.
"That really helped me to stay in the set, to keep fighting and to keep trying."
Fourth seed Veronika Kudermetova eased through after a 6-4 6-0 victory against Bianca Andreescu, while Marta Kostyuk also advanced with a hard-fought 6-7 (5-7) 6-2 6-3 win over Elena Rybakina.
At the ASB Classic in Auckland, second seed Sloane Stephens is out after falling to Rebeka Masarova.
Having been forced to resume on Wednesday after rain suspended play the previous day, Stephens struggled against her Spanish opponent, eventually losing 6-3 7-6 (7-5).
Fifth seed Wang Xiyu is also out after retiring from her match against Karolina Muchova, but seventh seed Danka Kovinic is through after a simple 6-1 6-4 win against Nao Hibino.
Kovinic will face Lauren Davis next after she overcame Tamara Zidansek 6-2 6-1, while fellow American Sofia Kenin will take on number one seed Coco Gauff in the last 16 after she beat Wang Xinyu in straight sets.
Top seed Sakkari faced Ekaterina Alexandrova in the second round and recorded a routine 6-2 6-4 triumph as she looks to bounce back from a fourth-round exit at the Australian Open.
The Greek will next face a difficult contest with Elise Mertens, who needed three sets to see off the challenge presented by Petra Martic and seal a 6-4 3-6 6-2 success.
Second seed Kontaveit recorded a 6-4 7-5 victory over Romania's Sorana Cirstea to set up a tantalising meeting with Belinda Bencic after the Swiss downed Kaja Juvan 6-1 7-6 (7-2).
World number 12 Elena Rybakina, meanwhile, needed less than an hour to record a straight-sets victory over Varvara Gracheva, booking an encounter with Tereza Martincova in the round of 16.
