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Finding the Fourth Proportional to 8,190.92, 12,287.60 and 2,642.44

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Solution

The fourth proportional to 8,190.92, 12,287.60 and 2,642.44 is: 3,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.92 : 12,287.60 = 2,642.44 : x
  2. Step 2: Convert to fraction form
    8,190.92/12,287.60 = 2,642.44/x
  3. Step 3: Cross multiply
    8,190.92x = 12,287.60 × 2,642.44
  4. Step 4: Simplify right side
    8,190.92x = 32,469,245.74
  5. Step 5: Solve for x
    x = 32,469,245.74/8,190.92
  6. Step 6: Final answer
    x = 3,964.05

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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.