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Finding the Fourth Proportional to 8,272.62, 12,409.40 and 2,650.78

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Solution

The fourth proportional to 8,272.62, 12,409.40 and 2,650.78 is: 3,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.62 : 12,409.40 = 2,650.78 : x
  2. Step 2: Convert to fraction form
    8,272.62/12,409.40 = 2,650.78/x
  3. Step 3: Cross multiply
    8,272.62x = 12,409.40 × 2,650.78
  4. Step 4: Simplify right side
    8,272.62x = 32,894,589.33
  5. Step 5: Solve for x
    x = 32,894,589.33/8,272.62
  6. Step 6: Final answer
    x = 3,976.32

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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.