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Finding the Fourth Proportional to 10,086, 13,908.15 and 6,105.66

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Solution

The fourth proportional to 10,086, 13,908.15 and 6,105.66 is: 8,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086 : 13,908.15 = 6,105.66 : x
  2. Step 2: Convert to fraction form
    10,086/13,908.15 = 6,105.66/x
  3. Step 3: Cross multiply
    10,086x = 13,908.15 × 6,105.66
  4. Step 4: Simplify right side
    10,086x = 84,918,435.13
  5. Step 5: Solve for x
    x = 84,918,435.13/10,086
  6. Step 6: Final answer
    x = 8,419.44

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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.