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Finding the Fourth Proportional to 8,251.13, 11,371.69 and 6,009.46

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Solution

The fourth proportional to 8,251.13, 11,371.69 and 6,009.46 is: 8,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.13 : 11,371.69 = 6,009.46 : x
  2. Step 2: Convert to fraction form
    8,251.13/11,371.69 = 6,009.46/x
  3. Step 3: Cross multiply
    8,251.13x = 11,371.69 × 6,009.46
  4. Step 4: Simplify right side
    8,251.13x = 68,337,695.27
  5. Step 5: Solve for x
    x = 68,337,695.27/8,251.13
  6. Step 6: Final answer
    x = 8,282.22

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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.