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Finding the Fourth Proportional to 8,034.92, 12,049.42 and 2,768.44

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Solution

The fourth proportional to 8,034.92, 12,049.42 and 2,768.44 is: 4,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.92 : 12,049.42 = 2,768.44 : x
  2. Step 2: Convert to fraction form
    8,034.92/12,049.42 = 2,768.44/x
  3. Step 3: Cross multiply
    8,034.92x = 12,049.42 × 2,768.44
  4. Step 4: Simplify right side
    8,034.92x = 33,358,096.30
  5. Step 5: Solve for x
    x = 33,358,096.30/8,034.92
  6. Step 6: Final answer
    x = 4,151.64

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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.