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Finding the Fourth Proportional to 8,364.92, 12,541.66 and 3,982.82

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Solution

The fourth proportional to 8,364.92, 12,541.66 and 3,982.82 is: 5,971.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.92 : 12,541.66 = 3,982.82 : x
  2. Step 2: Convert to fraction form
    8,364.92/12,541.66 = 3,982.82/x
  3. Step 3: Cross multiply
    8,364.92x = 12,541.66 × 3,982.82
  4. Step 4: Simplify right side
    8,364.92x = 49,951,174.28
  5. Step 5: Solve for x
    x = 49,951,174.28/8,364.92
  6. Step 6: Final answer
    x = 5,971.51

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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.