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Finding the Fourth Proportional to 10,540.13, 14,545.58 and 5,824.31

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Solution

The fourth proportional to 10,540.13, 14,545.58 and 5,824.31 is: 8,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.13 : 14,545.58 = 5,824.31 : x
  2. Step 2: Convert to fraction form
    10,540.13/14,545.58 = 5,824.31/x
  3. Step 3: Cross multiply
    10,540.13x = 14,545.58 × 5,824.31
  4. Step 4: Simplify right side
    10,540.13x = 84,717,865.20
  5. Step 5: Solve for x
    x = 84,717,865.20/10,540.13
  6. Step 6: Final answer
    x = 8,037.65

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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.