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Finding the Fourth Proportional to 8,077.60, 12,116.40 and 2,882.80

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Solution

The fourth proportional to 8,077.60, 12,116.40 and 2,882.80 is: 4,324.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.60 : 12,116.40 = 2,882.80 : x
  2. Step 2: Convert to fraction form
    8,077.60/12,116.40 = 2,882.80/x
  3. Step 3: Cross multiply
    8,077.60x = 12,116.40 × 2,882.80
  4. Step 4: Simplify right side
    8,077.60x = 34,929,157.92
  5. Step 5: Solve for x
    x = 34,929,157.92/8,077.60
  6. Step 6: Final answer
    x = 4,324.20

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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.