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Finding the Fourth Proportional to 10,456.40, 15,689.45 and 3,884.87

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Solution

The fourth proportional to 10,456.40, 15,689.45 and 3,884.87 is: 5,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.40 : 15,689.45 = 3,884.87 : x
  2. Step 2: Convert to fraction form
    10,456.40/15,689.45 = 3,884.87/x
  3. Step 3: Cross multiply
    10,456.40x = 15,689.45 × 3,884.87
  4. Step 4: Simplify right side
    10,456.40x = 60,951,473.62
  5. Step 5: Solve for x
    x = 60,951,473.62/10,456.40
  6. Step 6: Final answer
    x = 5,829.11

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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.