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Finding the Fourth Proportional to 8,212.34, 12,306.96 and 3,759.08

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Solution

The fourth proportional to 8,212.34, 12,306.96 and 3,759.08 is: 5,633.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.34 : 12,306.96 = 3,759.08 : x
  2. Step 2: Convert to fraction form
    8,212.34/12,306.96 = 3,759.08/x
  3. Step 3: Cross multiply
    8,212.34x = 12,306.96 × 3,759.08
  4. Step 4: Simplify right side
    8,212.34x = 46,262,785.66
  5. Step 5: Solve for x
    x = 46,262,785.66/8,212.34
  6. Step 6: Final answer
    x = 5,633.33

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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.