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Finding the Fourth Proportional to 8,155.38, 12,233.07 and 7,739.85

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Solution

The fourth proportional to 8,155.38, 12,233.07 and 7,739.85 is: 11,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.38 : 12,233.07 = 7,739.85 : x
  2. Step 2: Convert to fraction form
    8,155.38/12,233.07 = 7,739.85/x
  3. Step 3: Cross multiply
    8,155.38x = 12,233.07 × 7,739.85
  4. Step 4: Simplify right side
    8,155.38x = 94,682,126.84
  5. Step 5: Solve for x
    x = 94,682,126.84/8,155.38
  6. Step 6: Final answer
    x = 11,609.78

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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.