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Finding the Fourth Proportional to 10,265.88, 15,399.59 and 3,692.10

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Solution

The fourth proportional to 10,265.88, 15,399.59 and 3,692.10 is: 5,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,265.88 : 15,399.59 = 3,692.10 : x
  2. Step 2: Convert to fraction form
    10,265.88/15,399.59 = 3,692.10/x
  3. Step 3: Cross multiply
    10,265.88x = 15,399.59 × 3,692.10
  4. Step 4: Simplify right side
    10,265.88x = 56,856,807.78
  5. Step 5: Solve for x
    x = 56,856,807.78/10,265.88
  6. Step 6: Final answer
    x = 5,538.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.