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Finding the Fourth Proportional to 10,462.38, 14,438.97 and 5,747.64

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Solution

The fourth proportional to 10,462.38, 14,438.97 and 5,747.64 is: 7,932.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.38 : 14,438.97 = 5,747.64 : x
  2. Step 2: Convert to fraction form
    10,462.38/14,438.97 = 5,747.64/x
  3. Step 3: Cross multiply
    10,462.38x = 14,438.97 × 5,747.64
  4. Step 4: Simplify right side
    10,462.38x = 82,990,001.53
  5. Step 5: Solve for x
    x = 82,990,001.53/10,462.38
  6. Step 6: Final answer
    x = 7,932.23

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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.