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Finding the Fourth Proportional to 10,469.46, 14,447.54 and 5,753.73

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Solution

The fourth proportional to 10,469.46, 14,447.54 and 5,753.73 is: 7,939.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.46 : 14,447.54 = 5,753.73 : x
  2. Step 2: Convert to fraction form
    10,469.46/14,447.54 = 5,753.73/x
  3. Step 3: Cross multiply
    10,469.46x = 14,447.54 × 5,753.73
  4. Step 4: Simplify right side
    10,469.46x = 83,127,244.32
  5. Step 5: Solve for x
    x = 83,127,244.32/10,469.46
  6. Step 6: Final answer
    x = 7,939.97

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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.