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Finding the Fourth Proportional to 8,033.20, 12,049.80 and 4,145.20

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Solution

The fourth proportional to 8,033.20, 12,049.80 and 4,145.20 is: 6,217.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.20 : 12,049.80 = 4,145.20 : x
  2. Step 2: Convert to fraction form
    8,033.20/12,049.80 = 4,145.20/x
  3. Step 3: Cross multiply
    8,033.20x = 12,049.80 × 4,145.20
  4. Step 4: Simplify right side
    8,033.20x = 49,948,830.96
  5. Step 5: Solve for x
    x = 49,948,830.96/8,033.20
  6. Step 6: Final answer
    x = 6,217.80

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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.