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Finding the Fourth Proportional to 10,471.38, 14,450.31 and 5,755.56

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Solution

The fourth proportional to 10,471.38, 14,450.31 and 5,755.56 is: 7,942.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.38 : 14,450.31 = 5,755.56 : x
  2. Step 2: Convert to fraction form
    10,471.38/14,450.31 = 5,755.56/x
  3. Step 3: Cross multiply
    10,471.38x = 14,450.31 × 5,755.56
  4. Step 4: Simplify right side
    10,471.38x = 83,169,626.22
  5. Step 5: Solve for x
    x = 83,169,626.22/10,471.38
  6. Step 6: Final answer
    x = 7,942.57

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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.