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Finding the Fourth Proportional to 8,405.17, 12,608.80 and 3,967.38

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Solution

The fourth proportional to 8,405.17, 12,608.80 and 3,967.38 is: 5,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.17 : 12,608.80 = 3,967.38 : x
  2. Step 2: Convert to fraction form
    8,405.17/12,608.80 = 3,967.38/x
  3. Step 3: Cross multiply
    8,405.17x = 12,608.80 × 3,967.38
  4. Step 4: Simplify right side
    8,405.17x = 50,023,891.03
  5. Step 5: Solve for x
    x = 50,023,891.03/8,405.17
  6. Step 6: Final answer
    x = 5,951.56

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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.