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Finding the Fourth Proportional to 11,940.56, 17,911.74 and 4,147.28

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Solution

The fourth proportional to 11,940.56, 17,911.74 and 4,147.28 is: 6,221.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.56 : 17,911.74 = 4,147.28 : x
  2. Step 2: Convert to fraction form
    11,940.56/17,911.74 = 4,147.28/x
  3. Step 3: Cross multiply
    11,940.56x = 17,911.74 × 4,147.28
  4. Step 4: Simplify right side
    11,940.56x = 74,285,001.07
  5. Step 5: Solve for x
    x = 74,285,001.07/11,940.56
  6. Step 6: Final answer
    x = 6,221.23

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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.