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Finding the Fourth Proportional to 8,534.97, 12,729.84 and 8,387.28

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Solution

The fourth proportional to 8,534.97, 12,729.84 and 8,387.28 is: 12,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.97 : 12,729.84 = 8,387.28 : x
  2. Step 2: Convert to fraction form
    8,534.97/12,729.84 = 8,387.28/x
  3. Step 3: Cross multiply
    8,534.97x = 12,729.84 × 8,387.28
  4. Step 4: Simplify right side
    8,534.97x = 106,768,732.44
  5. Step 5: Solve for x
    x = 106,768,732.44/8,534.97
  6. Step 6: Final answer
    x = 12,509.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.