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Finding the Fourth Proportional to 10,481.70, 14,463.96 and 5,766.29

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Solution

The fourth proportional to 10,481.70, 14,463.96 and 5,766.29 is: 7,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.70 : 14,463.96 = 5,766.29 : x
  2. Step 2: Convert to fraction form
    10,481.70/14,463.96 = 5,766.29/x
  3. Step 3: Cross multiply
    10,481.70x = 14,463.96 × 5,766.29
  4. Step 4: Simplify right side
    10,481.70x = 83,403,286.76
  5. Step 5: Solve for x
    x = 83,403,286.76/10,481.70
  6. Step 6: Final answer
    x = 7,957.04

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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.