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Finding the Fourth Proportional to 11,778.68, 17,664.50 and 3,879.73

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Solution

The fourth proportional to 11,778.68, 17,664.50 and 3,879.73 is: 5,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.68 : 17,664.50 = 3,879.73 : x
  2. Step 2: Convert to fraction form
    11,778.68/17,664.50 = 3,879.73/x
  3. Step 3: Cross multiply
    11,778.68x = 17,664.50 × 3,879.73
  4. Step 4: Simplify right side
    11,778.68x = 68,533,490.59
  5. Step 5: Solve for x
    x = 68,533,490.59/11,778.68
  6. Step 6: Final answer
    x = 5,818.44

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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.