I know that usually we use verb-ing after a comma to say the action before the comma and that after the comma happen simultaneously. (e.g. The figure for bananas continued to grow, overtaking that for apples.)
But is the verb-ing still correct when there is another subject after the comma? I saw a sentence in an IELTS writing textbook: "Most people in both years said their relationships with their supervisors and co-workers were either very good or good, the figure for very good raising from 63% to 70%."
I find this sentence quite strange because I think there should be a "with" after the comma to make it grammatically correct but I am not sure. Could someone help me with this sentence and tell me whether it is grammatically correct or incorrect? And what are the rules behind your judgement?