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Finding the Fourth Proportional to 7,726.98, 10,663.25 and 4,190.21

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Solution

The fourth proportional to 7,726.98, 10,663.25 and 4,190.21 is: 5,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.98 : 10,663.25 = 4,190.21 : x
  2. Step 2: Convert to fraction form
    7,726.98/10,663.25 = 4,190.21/x
  3. Step 3: Cross multiply
    7,726.98x = 10,663.25 × 4,190.21
  4. Step 4: Simplify right side
    7,726.98x = 44,681,256.78
  5. Step 5: Solve for x
    x = 44,681,256.78/7,726.98
  6. Step 6: Final answer
    x = 5,782.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.