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Finding the Fourth Proportional to 8,234.72, 12,352.08 and 2,766.56

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Solution

The fourth proportional to 8,234.72, 12,352.08 and 2,766.56 is: 4,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.72 : 12,352.08 = 2,766.56 : x
  2. Step 2: Convert to fraction form
    8,234.72/12,352.08 = 2,766.56/x
  3. Step 3: Cross multiply
    8,234.72x = 12,352.08 × 2,766.56
  4. Step 4: Simplify right side
    8,234.72x = 34,172,770.44
  5. Step 5: Solve for x
    x = 34,172,770.44/8,234.72
  6. Step 6: Final answer
    x = 4,149.84

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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.