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Finding the Fourth Proportional to 8,006.31, 11,052.75 and 5,489.44

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Solution

The fourth proportional to 8,006.31, 11,052.75 and 5,489.44 is: 7,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.31 : 11,052.75 = 5,489.44 : x
  2. Step 2: Convert to fraction form
    8,006.31/11,052.75 = 5,489.44/x
  3. Step 3: Cross multiply
    8,006.31x = 11,052.75 × 5,489.44
  4. Step 4: Simplify right side
    8,006.31x = 60,673,400.91
  5. Step 5: Solve for x
    x = 60,673,400.91/8,006.31
  6. Step 6: Final answer
    x = 7,578.20

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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.