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Finding the Fourth Proportional to 11,167.64, 16,742.82 and 5,327

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Solution

The fourth proportional to 11,167.64, 16,742.82 and 5,327 is: 7,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167.64 : 16,742.82 = 5,327 : x
  2. Step 2: Convert to fraction form
    11,167.64/16,742.82 = 5,327/x
  3. Step 3: Cross multiply
    11,167.64x = 16,742.82 × 5,327
  4. Step 4: Simplify right side
    11,167.64x = 89,189,002.14
  5. Step 5: Solve for x
    x = 89,189,002.14/11,167.64
  6. Step 6: Final answer
    x = 7,986.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.