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Finding the Fourth Proportional to 5,922.72, 8,167.23 and 5,086.19

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Solution

The fourth proportional to 5,922.72, 8,167.23 and 5,086.19 is: 7,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.72 : 8,167.23 = 5,086.19 : x
  2. Step 2: Convert to fraction form
    5,922.72/8,167.23 = 5,086.19/x
  3. Step 3: Cross multiply
    5,922.72x = 8,167.23 × 5,086.19
  4. Step 4: Simplify right side
    5,922.72x = 41,540,103.97
  5. Step 5: Solve for x
    x = 41,540,103.97/5,922.72
  6. Step 6: Final answer
    x = 7,013.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.