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Finding the Fourth Proportional to 6,881.28, 10,321.97 and 1,687.16

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Solution

The fourth proportional to 6,881.28, 10,321.97 and 1,687.16 is: 2,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.28 : 10,321.97 = 1,687.16 : x
  2. Step 2: Convert to fraction form
    6,881.28/10,321.97 = 1,687.16/x
  3. Step 3: Cross multiply
    6,881.28x = 10,321.97 × 1,687.16
  4. Step 4: Simplify right side
    6,881.28x = 17,414,754.86
  5. Step 5: Solve for x
    x = 17,414,754.86/6,881.28
  6. Step 6: Final answer
    x = 2,530.74

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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.