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Finding the Fourth Proportional to 8,327.38, 11,488.17 and 5,491.12

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Solution

The fourth proportional to 8,327.38, 11,488.17 and 5,491.12 is: 7,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.38 : 11,488.17 = 5,491.12 : x
  2. Step 2: Convert to fraction form
    8,327.38/11,488.17 = 5,491.12/x
  3. Step 3: Cross multiply
    8,327.38x = 11,488.17 × 5,491.12
  4. Step 4: Simplify right side
    8,327.38x = 63,082,920.05
  5. Step 5: Solve for x
    x = 63,082,920.05/8,327.38
  6. Step 6: Final answer
    x = 7,575.36

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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.