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Finding the Fourth Proportional to 8,602.38, 12,884.13 and 6,872.22

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Solution

The fourth proportional to 8,602.38, 12,884.13 and 6,872.22 is: 10,292.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,602.38 : 12,884.13 = 6,872.22 : x
  2. Step 2: Convert to fraction form
    8,602.38/12,884.13 = 6,872.22/x
  3. Step 3: Cross multiply
    8,602.38x = 12,884.13 × 6,872.22
  4. Step 4: Simplify right side
    8,602.38x = 88,542,575.87
  5. Step 5: Solve for x
    x = 88,542,575.87/8,602.38
  6. Step 6: Final answer
    x = 10,292.80

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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.