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Finding the Fourth Proportional to 8,161.80, 12,234.24 and 4,876.44

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Solution

The fourth proportional to 8,161.80, 12,234.24 and 4,876.44 is: 7,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.80 : 12,234.24 = 4,876.44 : x
  2. Step 2: Convert to fraction form
    8,161.80/12,234.24 = 4,876.44/x
  3. Step 3: Cross multiply
    8,161.80x = 12,234.24 × 4,876.44
  4. Step 4: Simplify right side
    8,161.80x = 59,659,537.31
  5. Step 5: Solve for x
    x = 59,659,537.31/8,161.80
  6. Step 6: Final answer
    x = 7,309.61

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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.