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Finding the Fourth Proportional to 8,239.97, 11,371.09 and 4,463.05

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Solution

The fourth proportional to 8,239.97, 11,371.09 and 4,463.05 is: 6,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.97 : 11,371.09 = 4,463.05 : x
  2. Step 2: Convert to fraction form
    8,239.97/11,371.09 = 4,463.05/x
  3. Step 3: Cross multiply
    8,239.97x = 11,371.09 × 4,463.05
  4. Step 4: Simplify right side
    8,239.97x = 50,749,664.05
  5. Step 5: Solve for x
    x = 50,749,664.05/8,239.97
  6. Step 6: Final answer
    x = 6,158.96

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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.