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Finding the Fourth Proportional to 8,512.24, 12,764.82 and 3,249.16

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Solution

The fourth proportional to 8,512.24, 12,764.82 and 3,249.16 is: 4,872.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.24 : 12,764.82 = 3,249.16 : x
  2. Step 2: Convert to fraction form
    8,512.24/12,764.82 = 3,249.16/x
  3. Step 3: Cross multiply
    8,512.24x = 12,764.82 × 3,249.16
  4. Step 4: Simplify right side
    8,512.24x = 41,474,942.55
  5. Step 5: Solve for x
    x = 41,474,942.55/8,512.24
  6. Step 6: Final answer
    x = 4,872.39

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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.