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Finding the Fourth Proportional to 10,006.89, 15,002.22 and 4,167.87

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Solution

The fourth proportional to 10,006.89, 15,002.22 and 4,167.87 is: 6,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.89 : 15,002.22 = 4,167.87 : x
  2. Step 2: Convert to fraction form
    10,006.89/15,002.22 = 4,167.87/x
  3. Step 3: Cross multiply
    10,006.89x = 15,002.22 × 4,167.87
  4. Step 4: Simplify right side
    10,006.89x = 62,527,227.66
  5. Step 5: Solve for x
    x = 62,527,227.66/10,006.89
  6. Step 6: Final answer
    x = 6,248.42

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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.