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Finding the Fourth Proportional to 8,321.68, 12,485.76 and 3,942.82

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Solution

The fourth proportional to 8,321.68, 12,485.76 and 3,942.82 is: 5,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.68 : 12,485.76 = 3,942.82 : x
  2. Step 2: Convert to fraction form
    8,321.68/12,485.76 = 3,942.82/x
  3. Step 3: Cross multiply
    8,321.68x = 12,485.76 × 3,942.82
  4. Step 4: Simplify right side
    8,321.68x = 49,229,104.24
  5. Step 5: Solve for x
    x = 49,229,104.24/8,321.68
  6. Step 6: Final answer
    x = 5,915.77

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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.