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Finding the Fourth Proportional to 8,212.68, 12,306.06 and 3,279.24

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Solution

The fourth proportional to 8,212.68, 12,306.06 and 3,279.24 is: 4,913.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.68 : 12,306.06 = 3,279.24 : x
  2. Step 2: Convert to fraction form
    8,212.68/12,306.06 = 3,279.24/x
  3. Step 3: Cross multiply
    8,212.68x = 12,306.06 × 3,279.24
  4. Step 4: Simplify right side
    8,212.68x = 40,354,524.19
  5. Step 5: Solve for x
    x = 40,354,524.19/8,212.68
  6. Step 6: Final answer
    x = 4,913.69

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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.