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Finding the Fourth Proportional to 8,122.80, 12,178.08 and 3,191.76

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Solution

The fourth proportional to 8,122.80, 12,178.08 and 3,191.76 is: 4,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.80 : 12,178.08 = 3,191.76 : x
  2. Step 2: Convert to fraction form
    8,122.80/12,178.08 = 3,191.76/x
  3. Step 3: Cross multiply
    8,122.80x = 12,178.08 × 3,191.76
  4. Step 4: Simplify right side
    8,122.80x = 38,869,508.62
  5. Step 5: Solve for x
    x = 38,869,508.62/8,122.80
  6. Step 6: Final answer
    x = 4,785.24

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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.