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Finding the Fourth Proportional to 8,099.80, 12,148.72 and 3,482.20

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Solution

The fourth proportional to 8,099.80, 12,148.72 and 3,482.20 is: 5,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.80 : 12,148.72 = 3,482.20 : x
  2. Step 2: Convert to fraction form
    8,099.80/12,148.72 = 3,482.20/x
  3. Step 3: Cross multiply
    8,099.80x = 12,148.72 × 3,482.20
  4. Step 4: Simplify right side
    8,099.80x = 42,304,272.78
  5. Step 5: Solve for x
    x = 42,304,272.78/8,099.80
  6. Step 6: Final answer
    x = 5,222.88

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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.