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Finding the Fourth Proportional to 8,122.68, 12,178.74 and 3,961.56

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Solution

The fourth proportional to 8,122.68, 12,178.74 and 3,961.56 is: 5,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.68 : 12,178.74 = 3,961.56 : x
  2. Step 2: Convert to fraction form
    8,122.68/12,178.74 = 3,961.56/x
  3. Step 3: Cross multiply
    8,122.68x = 12,178.74 × 3,961.56
  4. Step 4: Simplify right side
    8,122.68x = 48,246,809.23
  5. Step 5: Solve for x
    x = 48,246,809.23/8,122.68
  6. Step 6: Final answer
    x = 5,939.76

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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.