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Finding the Fourth Proportional to 10,387.62, 15,572.16 and 3,812.28

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Solution

The fourth proportional to 10,387.62, 15,572.16 and 3,812.28 is: 5,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.62 : 15,572.16 = 3,812.28 : x
  2. Step 2: Convert to fraction form
    10,387.62/15,572.16 = 3,812.28/x
  3. Step 3: Cross multiply
    10,387.62x = 15,572.16 × 3,812.28
  4. Step 4: Simplify right side
    10,387.62x = 59,365,434.12
  5. Step 5: Solve for x
    x = 59,365,434.12/10,387.62
  6. Step 6: Final answer
    x = 5,715.02

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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.