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Finding the Fourth Proportional to 8,099.20, 12,136 and 3,162.88

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Solution

The fourth proportional to 8,099.20, 12,136 and 3,162.88 is: 4,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.20 : 12,136 = 3,162.88 : x
  2. Step 2: Convert to fraction form
    8,099.20/12,136 = 3,162.88/x
  3. Step 3: Cross multiply
    8,099.20x = 12,136 × 3,162.88
  4. Step 4: Simplify right side
    8,099.20x = 38,384,711.68
  5. Step 5: Solve for x
    x = 38,384,711.68/8,099.20
  6. Step 6: Final answer
    x = 4,739.32

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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.