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Finding the Fourth Proportional to 12,085.41, 18,129.78 and 3,766.08

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Solution

The fourth proportional to 12,085.41, 18,129.78 and 3,766.08 is: 5,649.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,085.41 : 18,129.78 = 3,766.08 : x
  2. Step 2: Convert to fraction form
    12,085.41/18,129.78 = 3,766.08/x
  3. Step 3: Cross multiply
    12,085.41x = 18,129.78 × 3,766.08
  4. Step 4: Simplify right side
    12,085.41x = 68,278,201.86
  5. Step 5: Solve for x
    x = 68,278,201.86/12,085.41
  6. Step 6: Final answer
    x = 5,649.64

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