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Finding the Fourth Proportional to 11,440.74, 17,161.41 and 3,649.55

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Solution

The fourth proportional to 11,440.74, 17,161.41 and 3,649.55 is: 5,474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.74 : 17,161.41 = 3,649.55 : x
  2. Step 2: Convert to fraction form
    11,440.74/17,161.41 = 3,649.55/x
  3. Step 3: Cross multiply
    11,440.74x = 17,161.41 × 3,649.55
  4. Step 4: Simplify right side
    11,440.74x = 62,631,388.73
  5. Step 5: Solve for x
    x = 62,631,388.73/11,440.74
  6. Step 6: Final answer
    x = 5,474.42

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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.