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Finding the Fourth Proportional to 8,404.72, 11,578.58 and 5,882.38

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Solution

The fourth proportional to 8,404.72, 11,578.58 and 5,882.38 is: 8,103.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.72 : 11,578.58 = 5,882.38 : x
  2. Step 2: Convert to fraction form
    8,404.72/11,578.58 = 5,882.38/x
  3. Step 3: Cross multiply
    8,404.72x = 11,578.58 × 5,882.38
  4. Step 4: Simplify right side
    8,404.72x = 68,109,549.53
  5. Step 5: Solve for x
    x = 68,109,549.53/8,404.72
  6. Step 6: Final answer
    x = 8,103.73

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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.