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Finding the Fourth Proportional to 12,086.44, 18,129.86 and 3,766.68

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Solution

The fourth proportional to 12,086.44, 18,129.86 and 3,766.68 is: 5,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.44 : 18,129.86 = 3,766.68 : x
  2. Step 2: Convert to fraction form
    12,086.44/18,129.86 = 3,766.68/x
  3. Step 3: Cross multiply
    12,086.44x = 18,129.86 × 3,766.68
  4. Step 4: Simplify right side
    12,086.44x = 68,289,381.06
  5. Step 5: Solve for x
    x = 68,289,381.06/12,086.44
  6. Step 6: Final answer
    x = 5,650.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.