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Finding the Fourth Proportional to 8,108.28, 12,164.04 and 2,914.56

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Solution

The fourth proportional to 8,108.28, 12,164.04 and 2,914.56 is: 4,372.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.28 : 12,164.04 = 2,914.56 : x
  2. Step 2: Convert to fraction form
    8,108.28/12,164.04 = 2,914.56/x
  3. Step 3: Cross multiply
    8,108.28x = 12,164.04 × 2,914.56
  4. Step 4: Simplify right side
    8,108.28x = 35,452,824.42
  5. Step 5: Solve for x
    x = 35,452,824.42/8,108.28
  6. Step 6: Final answer
    x = 4,372.42

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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.