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Finding the Fourth Proportional to 11,778.49, 17,664.22 and 3,879.55

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Solution

The fourth proportional to 11,778.49, 17,664.22 and 3,879.55 is: 5,818.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,778.49 : 17,664.22 = 3,879.55 : x
  2. Step 2: Convert to fraction form
    11,778.49/17,664.22 = 3,879.55/x
  3. Step 3: Cross multiply
    11,778.49x = 17,664.22 × 3,879.55
  4. Step 4: Simplify right side
    11,778.49x = 68,529,224.70
  5. Step 5: Solve for x
    x = 68,529,224.70/11,778.49
  6. Step 6: Final answer
    x = 5,818.17

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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.