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Finding the Fourth Proportional to 8,098.80, 11,182.08 and 5,974.56

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Solution

The fourth proportional to 8,098.80, 11,182.08 and 5,974.56 is: 8,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.80 : 11,182.08 = 5,974.56 : x
  2. Step 2: Convert to fraction form
    8,098.80/11,182.08 = 5,974.56/x
  3. Step 3: Cross multiply
    8,098.80x = 11,182.08 × 5,974.56
  4. Step 4: Simplify right side
    8,098.80x = 66,808,007.88
  5. Step 5: Solve for x
    x = 66,808,007.88/8,098.80
  6. Step 6: Final answer
    x = 8,249.12

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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.