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Finding the Fourth Proportional to 7,987.92, 11,982.49 and 5,822.79

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Solution

The fourth proportional to 7,987.92, 11,982.49 and 5,822.79 is: 8,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,987.92 : 11,982.49 = 5,822.79 : x
  2. Step 2: Convert to fraction form
    7,987.92/11,982.49 = 5,822.79/x
  3. Step 3: Cross multiply
    7,987.92x = 11,982.49 × 5,822.79
  4. Step 4: Simplify right side
    7,987.92x = 69,771,508.39
  5. Step 5: Solve for x
    x = 69,771,508.39/7,987.92
  6. Step 6: Final answer
    x = 8,734.63

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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.