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Finding the Fourth Proportional to 10,387.10, 15,580.65 and 9,263.90

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Solution

The fourth proportional to 10,387.10, 15,580.65 and 9,263.90 is: 13,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.10 : 15,580.65 = 9,263.90 : x
  2. Step 2: Convert to fraction form
    10,387.10/15,580.65 = 9,263.90/x
  3. Step 3: Cross multiply
    10,387.10x = 15,580.65 × 9,263.90
  4. Step 4: Simplify right side
    10,387.10x = 144,337,583.54
  5. Step 5: Solve for x
    x = 144,337,583.54/10,387.10
  6. Step 6: Final answer
    x = 13,895.85

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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.