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Finding the Fourth Proportional to 8,034.82, 12,050.85 and 2,191.44

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Solution

The fourth proportional to 8,034.82, 12,050.85 and 2,191.44 is: 3,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034.82 : 12,050.85 = 2,191.44 : x
  2. Step 2: Convert to fraction form
    8,034.82/12,050.85 = 2,191.44/x
  3. Step 3: Cross multiply
    8,034.82x = 12,050.85 × 2,191.44
  4. Step 4: Simplify right side
    8,034.82x = 26,408,714.72
  5. Step 5: Solve for x
    x = 26,408,714.72/8,034.82
  6. Step 6: Final answer
    x = 3,286.78

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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.