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Finding the Fourth Proportional to 10,540.20, 14,545.36 and 5,824.20

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Solution

The fourth proportional to 10,540.20, 14,545.36 and 5,824.20 is: 8,037.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,540.20 : 14,545.36 = 5,824.20 : x
  2. Step 2: Convert to fraction form
    10,540.20/14,545.36 = 5,824.20/x
  3. Step 3: Cross multiply
    10,540.20x = 14,545.36 × 5,824.20
  4. Step 4: Simplify right side
    10,540.20x = 84,715,085.71
  5. Step 5: Solve for x
    x = 84,715,085.71/10,540.20
  6. Step 6: Final answer
    x = 8,037.33

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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.