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Finding the Fourth Proportional to 8,517.71, 11,754.57 and 4,741.08

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Solution

The fourth proportional to 8,517.71, 11,754.57 and 4,741.08 is: 6,542.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.71 : 11,754.57 = 4,741.08 : x
  2. Step 2: Convert to fraction form
    8,517.71/11,754.57 = 4,741.08/x
  3. Step 3: Cross multiply
    8,517.71x = 11,754.57 × 4,741.08
  4. Step 4: Simplify right side
    8,517.71x = 55,729,356.74
  5. Step 5: Solve for x
    x = 55,729,356.74/8,517.71
  6. Step 6: Final answer
    x = 6,542.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.