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Finding the Fourth Proportional to 10,081.38, 13,894.20 and 8,199.18

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Solution

The fourth proportional to 10,081.38, 13,894.20 and 8,199.18 is: 11,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,081.38 : 13,894.20 = 8,199.18 : x
  2. Step 2: Convert to fraction form
    10,081.38/13,894.20 = 8,199.18/x
  3. Step 3: Cross multiply
    10,081.38x = 13,894.20 × 8,199.18
  4. Step 4: Simplify right side
    10,081.38x = 113,921,046.76
  5. Step 5: Solve for x
    x = 113,921,046.76/10,081.38
  6. Step 6: Final answer
    x = 11,300.14

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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.