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Finding the Fourth Proportional to 8,212.56, 12,318.24 and 2,667.28

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Solution

The fourth proportional to 8,212.56, 12,318.24 and 2,667.28 is: 4,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.56 : 12,318.24 = 2,667.28 : x
  2. Step 2: Convert to fraction form
    8,212.56/12,318.24 = 2,667.28/x
  3. Step 3: Cross multiply
    8,212.56x = 12,318.24 × 2,667.28
  4. Step 4: Simplify right side
    8,212.56x = 32,856,195.19
  5. Step 5: Solve for x
    x = 32,856,195.19/8,212.56
  6. Step 6: Final answer
    x = 4,000.73

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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.