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Finding the Fourth Proportional to 10,471.38, 14,450.52 and 5,755.69

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Solution

The fourth proportional to 10,471.38, 14,450.52 and 5,755.69 is: 7,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.38 : 14,450.52 = 5,755.69 : x
  2. Step 2: Convert to fraction form
    10,471.38/14,450.52 = 5,755.69/x
  3. Step 3: Cross multiply
    10,471.38x = 14,450.52 × 5,755.69
  4. Step 4: Simplify right side
    10,471.38x = 83,172,713.46
  5. Step 5: Solve for x
    x = 83,172,713.46/10,471.38
  6. Step 6: Final answer
    x = 7,942.86

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Why These Related Problems?

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