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Finding the Fourth Proportional to 8,449.90, 12,656.38 and 4,282.76

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Solution

The fourth proportional to 8,449.90, 12,656.38 and 4,282.76 is: 6,414.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.90 : 12,656.38 = 4,282.76 : x
  2. Step 2: Convert to fraction form
    8,449.90/12,656.38 = 4,282.76/x
  3. Step 3: Cross multiply
    8,449.90x = 12,656.38 × 4,282.76
  4. Step 4: Simplify right side
    8,449.90x = 54,204,238.01
  5. Step 5: Solve for x
    x = 54,204,238.01/8,449.90
  6. Step 6: Final answer
    x = 6,414.78

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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.