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Finding the Fourth Proportional to 8,327.52, 11,487 and 5,493.92

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Solution

The fourth proportional to 8,327.52, 11,487 and 5,493.92 is: 7,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,327.52 : 11,487 = 5,493.92 : x
  2. Step 2: Convert to fraction form
    8,327.52/11,487 = 5,493.92/x
  3. Step 3: Cross multiply
    8,327.52x = 11,487 × 5,493.92
  4. Step 4: Simplify right side
    8,327.52x = 63,108,659.04
  5. Step 5: Solve for x
    x = 63,108,659.04/8,327.52
  6. Step 6: Final answer
    x = 7,578.33

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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.