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Finding the Fourth Proportional to 10,545.60, 14,552.56 and 5,829.76

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Solution

The fourth proportional to 10,545.60, 14,552.56 and 5,829.76 is: 8,044.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.60 : 14,552.56 = 5,829.76 : x
  2. Step 2: Convert to fraction form
    10,545.60/14,552.56 = 5,829.76/x
  3. Step 3: Cross multiply
    10,545.60x = 14,552.56 × 5,829.76
  4. Step 4: Simplify right side
    10,545.60x = 84,837,932.19
  5. Step 5: Solve for x
    x = 84,837,932.19/10,545.60
  6. Step 6: Final answer
    x = 8,044.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.