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Finding the Fourth Proportional to 12,086.45, 16,679.61 and 7,839.26

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Solution

The fourth proportional to 12,086.45, 16,679.61 and 7,839.26 is: 10,818.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.45 : 16,679.61 = 7,839.26 : x
  2. Step 2: Convert to fraction form
    12,086.45/16,679.61 = 7,839.26/x
  3. Step 3: Cross multiply
    12,086.45x = 16,679.61 × 7,839.26
  4. Step 4: Simplify right side
    12,086.45x = 130,755,778.64
  5. Step 5: Solve for x
    x = 130,755,778.64/12,086.45
  6. Step 6: Final answer
    x = 10,818.38

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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.