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Finding the Fourth Proportional to 8,003.69, 11,982.15 and 5,338.25

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Solution

The fourth proportional to 8,003.69, 11,982.15 and 5,338.25 is: 7,991.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.69 : 11,982.15 = 5,338.25 : x
  2. Step 2: Convert to fraction form
    8,003.69/11,982.15 = 5,338.25/x
  3. Step 3: Cross multiply
    8,003.69x = 11,982.15 × 5,338.25
  4. Step 4: Simplify right side
    8,003.69x = 63,963,652.33
  5. Step 5: Solve for x
    x = 63,963,652.33/8,003.69
  6. Step 6: Final answer
    x = 7,991.78

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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.