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Finding the Fourth Proportional to 8,049.20, 12,073.04 and 2,854.80

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Solution

The fourth proportional to 8,049.20, 12,073.04 and 2,854.80 is: 4,281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.20 : 12,073.04 = 2,854.80 : x
  2. Step 2: Convert to fraction form
    8,049.20/12,073.04 = 2,854.80/x
  3. Step 3: Cross multiply
    8,049.20x = 12,073.04 × 2,854.80
  4. Step 4: Simplify right side
    8,049.20x = 34,466,114.59
  5. Step 5: Solve for x
    x = 34,466,114.59/8,049.20
  6. Step 6: Final answer
    x = 4,281.93

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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.