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Finding the Fourth Proportional to 10,472.75, 14,452.40 and 5,757.34

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Solution

The fourth proportional to 10,472.75, 14,452.40 and 5,757.34 is: 7,945.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.75 : 14,452.40 = 5,757.34 : x
  2. Step 2: Convert to fraction form
    10,472.75/14,452.40 = 5,757.34/x
  3. Step 3: Cross multiply
    10,472.75x = 14,452.40 × 5,757.34
  4. Step 4: Simplify right side
    10,472.75x = 83,207,380.62
  5. Step 5: Solve for x
    x = 83,207,380.62/10,472.75
  6. Step 6: Final answer
    x = 7,945.13

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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.