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Finding the Fourth Proportional to 8,188.97, 12,274.27 and 3,257.28

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Solution

The fourth proportional to 8,188.97, 12,274.27 and 3,257.28 is: 4,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.97 : 12,274.27 = 3,257.28 : x
  2. Step 2: Convert to fraction form
    8,188.97/12,274.27 = 3,257.28/x
  3. Step 3: Cross multiply
    8,188.97x = 12,274.27 × 3,257.28
  4. Step 4: Simplify right side
    8,188.97x = 39,980,717.90
  5. Step 5: Solve for x
    x = 39,980,717.90/8,188.97
  6. Step 6: Final answer
    x = 4,882.27

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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.