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Finding the Fourth Proportional to 8,134, 12,197.16 and 2,939.76

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Solution

The fourth proportional to 8,134, 12,197.16 and 2,939.76 is: 4,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134 : 12,197.16 = 2,939.76 : x
  2. Step 2: Convert to fraction form
    8,134/12,197.16 = 2,939.76/x
  3. Step 3: Cross multiply
    8,134x = 12,197.16 × 2,939.76
  4. Step 4: Simplify right side
    8,134x = 35,856,723.08
  5. Step 5: Solve for x
    x = 35,856,723.08/8,134
  6. Step 6: Final answer
    x = 4,408.25

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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.