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Finding the Fourth Proportional to 11,432.68, 15,778.18 and 7,184.44

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Solution

The fourth proportional to 11,432.68, 15,778.18 and 7,184.44 is: 9,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432.68 : 15,778.18 = 7,184.44 : x
  2. Step 2: Convert to fraction form
    11,432.68/15,778.18 = 7,184.44/x
  3. Step 3: Cross multiply
    11,432.68x = 15,778.18 × 7,184.44
  4. Step 4: Simplify right side
    11,432.68x = 113,357,387.52
  5. Step 5: Solve for x
    x = 113,357,387.52/11,432.68
  6. Step 6: Final answer
    x = 9,915.21

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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.