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Finding the Fourth Proportional to 8,098.67, 11,171.33 and 5,973.53

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Solution

The fourth proportional to 8,098.67, 11,171.33 and 5,973.53 is: 8,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.67 : 11,171.33 = 5,973.53 : x
  2. Step 2: Convert to fraction form
    8,098.67/11,171.33 = 5,973.53/x
  3. Step 3: Cross multiply
    8,098.67x = 11,171.33 × 5,973.53
  4. Step 4: Simplify right side
    8,098.67x = 66,732,233.97
  5. Step 5: Solve for x
    x = 66,732,233.97/8,098.67
  6. Step 6: Final answer
    x = 8,239.90

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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.