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Finding the Fourth Proportional to 10,086.80, 13,920.18 and 6,105.66

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Solution

The fourth proportional to 10,086.80, 13,920.18 and 6,105.66 is: 8,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.80 : 13,920.18 = 6,105.66 : x
  2. Step 2: Convert to fraction form
    10,086.80/13,920.18 = 6,105.66/x
  3. Step 3: Cross multiply
    10,086.80x = 13,920.18 × 6,105.66
  4. Step 4: Simplify right side
    10,086.80x = 84,991,886.22
  5. Step 5: Solve for x
    x = 84,991,886.22/10,086.80
  6. Step 6: Final answer
    x = 8,426.05

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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.