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Finding the Fourth Proportional to 10,387.83, 15,572.46 and 3,812.49

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Solution

The fourth proportional to 10,387.83, 15,572.46 and 3,812.49 is: 5,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,387.83 : 15,572.46 = 3,812.49 : x
  2. Step 2: Convert to fraction form
    10,387.83/15,572.46 = 3,812.49/x
  3. Step 3: Cross multiply
    10,387.83x = 15,572.46 × 3,812.49
  4. Step 4: Simplify right side
    10,387.83x = 59,369,848.03
  5. Step 5: Solve for x
    x = 59,369,848.03/10,387.83
  6. Step 6: Final answer
    x = 5,715.33

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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.