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Finding the Fourth Proportional to 8,425.67, 12,646.25 and 4,268.57

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Solution

The fourth proportional to 8,425.67, 12,646.25 and 4,268.57 is: 6,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.67 : 12,646.25 = 4,268.57 : x
  2. Step 2: Convert to fraction form
    8,425.67/12,646.25 = 4,268.57/x
  3. Step 3: Cross multiply
    8,425.67x = 12,646.25 × 4,268.57
  4. Step 4: Simplify right side
    8,425.67x = 53,981,350.80
  5. Step 5: Solve for x
    x = 53,981,350.80/8,425.67
  6. Step 6: Final answer
    x = 6,406.78

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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.