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Finding the Fourth Proportional to 10,472.75, 14,452.42 and 5,757.07

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Solution

The fourth proportional to 10,472.75, 14,452.42 and 5,757.07 is: 7,944.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.75 : 14,452.42 = 5,757.07 : x
  2. Step 2: Convert to fraction form
    10,472.75/14,452.42 = 5,757.07/x
  3. Step 3: Cross multiply
    10,472.75x = 14,452.42 × 5,757.07
  4. Step 4: Simplify right side
    10,472.75x = 83,203,521.35
  5. Step 5: Solve for x
    x = 83,203,521.35/10,472.75
  6. Step 6: Final answer
    x = 7,944.76

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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.