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Finding the Fourth Proportional to 8,517.01, 12,764.70 and 3,832.02

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Solution

The fourth proportional to 8,517.01, 12,764.70 and 3,832.02 is: 5,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.01 : 12,764.70 = 3,832.02 : x
  2. Step 2: Convert to fraction form
    8,517.01/12,764.70 = 3,832.02/x
  3. Step 3: Cross multiply
    8,517.01x = 12,764.70 × 3,832.02
  4. Step 4: Simplify right side
    8,517.01x = 48,914,585.69
  5. Step 5: Solve for x
    x = 48,914,585.69/8,517.01
  6. Step 6: Final answer
    x = 5,743.16

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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.