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Finding the Fourth Proportional to 8,117.20, 12,161.22 and 7,679.80

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Solution

The fourth proportional to 8,117.20, 12,161.22 and 7,679.80 is: 11,505.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.20 : 12,161.22 = 7,679.80 : x
  2. Step 2: Convert to fraction form
    8,117.20/12,161.22 = 7,679.80/x
  3. Step 3: Cross multiply
    8,117.20x = 12,161.22 × 7,679.80
  4. Step 4: Simplify right side
    8,117.20x = 93,395,737.36
  5. Step 5: Solve for x
    x = 93,395,737.36/8,117.20
  6. Step 6: Final answer
    x = 11,505.91

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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.