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Finding the Fourth Proportional to 8,863.97, 12,231.88 and 5,084.51

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Solution

The fourth proportional to 8,863.97, 12,231.88 and 5,084.51 is: 7,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.97 : 12,231.88 = 5,084.51 : x
  2. Step 2: Convert to fraction form
    8,863.97/12,231.88 = 5,084.51/x
  3. Step 3: Cross multiply
    8,863.97x = 12,231.88 × 5,084.51
  4. Step 4: Simplify right side
    8,863.97x = 62,193,042.31
  5. Step 5: Solve for x
    x = 62,193,042.31/8,863.97
  6. Step 6: Final answer
    x = 7,016.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.