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Finding the Fourth Proportional to 8,149.56, 12,222.91 and 3,766.65

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Solution

The fourth proportional to 8,149.56, 12,222.91 and 3,766.65 is: 5,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.56 : 12,222.91 = 3,766.65 : x
  2. Step 2: Convert to fraction form
    8,149.56/12,222.91 = 3,766.65/x
  3. Step 3: Cross multiply
    8,149.56x = 12,222.91 × 3,766.65
  4. Step 4: Simplify right side
    8,149.56x = 46,039,423.95
  5. Step 5: Solve for x
    x = 46,039,423.95/8,149.56
  6. Step 6: Final answer
    x = 5,649.31

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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.