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Finding the Fourth Proportional to 8,105.44, 12,160.68 and 6,881.80

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Solution

The fourth proportional to 8,105.44, 12,160.68 and 6,881.80 is: 10,324.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.44 : 12,160.68 = 6,881.80 : x
  2. Step 2: Convert to fraction form
    8,105.44/12,160.68 = 6,881.80/x
  3. Step 3: Cross multiply
    8,105.44x = 12,160.68 × 6,881.80
  4. Step 4: Simplify right side
    8,105.44x = 83,687,367.62
  5. Step 5: Solve for x
    x = 83,687,367.62/8,105.44
  6. Step 6: Final answer
    x = 10,324.84

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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.