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Finding the Fourth Proportional to 8,517.41, 12,769.71 and 5,736.27

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Solution

The fourth proportional to 8,517.41, 12,769.71 and 5,736.27 is: 8,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.41 : 12,769.71 = 5,736.27 : x
  2. Step 2: Convert to fraction form
    8,517.41/12,769.71 = 5,736.27/x
  3. Step 3: Cross multiply
    8,517.41x = 12,769.71 × 5,736.27
  4. Step 4: Simplify right side
    8,517.41x = 73,250,504.38
  5. Step 5: Solve for x
    x = 73,250,504.38/8,517.41
  6. Step 6: Final answer
    x = 8,600.10

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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.