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Finding the Fourth Proportional to 10,304.17, 15,451.68 and 3,282.88

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Solution

The fourth proportional to 10,304.17, 15,451.68 and 3,282.88 is: 4,922.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.17 : 15,451.68 = 3,282.88 : x
  2. Step 2: Convert to fraction form
    10,304.17/15,451.68 = 3,282.88/x
  3. Step 3: Cross multiply
    10,304.17x = 15,451.68 × 3,282.88
  4. Step 4: Simplify right side
    10,304.17x = 50,726,011.24
  5. Step 5: Solve for x
    x = 50,726,011.24/10,304.17
  6. Step 6: Final answer
    x = 4,922.86

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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.