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Finding the Fourth Proportional to 7,906.68, 11,862.82 and 3,523.72

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Solution

The fourth proportional to 7,906.68, 11,862.82 and 3,523.72 is: 5,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.68 : 11,862.82 = 3,523.72 : x
  2. Step 2: Convert to fraction form
    7,906.68/11,862.82 = 3,523.72/x
  3. Step 3: Cross multiply
    7,906.68x = 11,862.82 × 3,523.72
  4. Step 4: Simplify right side
    7,906.68x = 41,801,256.09
  5. Step 5: Solve for x
    x = 41,801,256.09/7,906.68
  6. Step 6: Final answer
    x = 5,286.83

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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.