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Finding the Fourth Proportional to 11,908.92, 16,433.78 and 6,874.04

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Solution

The fourth proportional to 11,908.92, 16,433.78 and 6,874.04 is: 9,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.92 : 16,433.78 = 6,874.04 : x
  2. Step 2: Convert to fraction form
    11,908.92/16,433.78 = 6,874.04/x
  3. Step 3: Cross multiply
    11,908.92x = 16,433.78 × 6,874.04
  4. Step 4: Simplify right side
    11,908.92x = 112,966,344.53
  5. Step 5: Solve for x
    x = 112,966,344.53/11,908.92
  6. Step 6: Final answer
    x = 9,485.86

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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.