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Finding the Fourth Proportional to 6,766.65, 10,149.21 and 3,207.92

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Solution

The fourth proportional to 6,766.65, 10,149.21 and 3,207.92 is: 4,811.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.65 : 10,149.21 = 3,207.92 : x
  2. Step 2: Convert to fraction form
    6,766.65/10,149.21 = 3,207.92/x
  3. Step 3: Cross multiply
    6,766.65x = 10,149.21 × 3,207.92
  4. Step 4: Simplify right side
    6,766.65x = 32,557,803.00
  5. Step 5: Solve for x
    x = 32,557,803.00/6,766.65
  6. Step 6: Final answer
    x = 4,811.51

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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.