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Finding the Fourth Proportional to 10,372.86, 15,545.85 and 5,429.98

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Solution

The fourth proportional to 10,372.86, 15,545.85 and 5,429.98 is: 8,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,372.86 : 15,545.85 = 5,429.98 : x
  2. Step 2: Convert to fraction form
    10,372.86/15,545.85 = 5,429.98/x
  3. Step 3: Cross multiply
    10,372.86x = 15,545.85 × 5,429.98
  4. Step 4: Simplify right side
    10,372.86x = 84,413,654.58
  5. Step 5: Solve for x
    x = 84,413,654.58/10,372.86
  6. Step 6: Final answer
    x = 8,137.93

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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.