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Finding the Fourth Proportional to 8,167.97, 11,271.92 and 6,120.24

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Solution

The fourth proportional to 8,167.97, 11,271.92 and 6,120.24 is: 8,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.97 : 11,271.92 = 6,120.24 : x
  2. Step 2: Convert to fraction form
    8,167.97/11,271.92 = 6,120.24/x
  3. Step 3: Cross multiply
    8,167.97x = 11,271.92 × 6,120.24
  4. Step 4: Simplify right side
    8,167.97x = 68,986,825.06
  5. Step 5: Solve for x
    x = 68,986,825.06/8,167.97
  6. Step 6: Final answer
    x = 8,446.02

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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.