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Finding the Fourth Proportional to 11,638.39, 17,450.97 and 7,945.09

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Solution

The fourth proportional to 11,638.39, 17,450.97 and 7,945.09 is: 11,913.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.39 : 17,450.97 = 7,945.09 : x
  2. Step 2: Convert to fraction form
    11,638.39/17,450.97 = 7,945.09/x
  3. Step 3: Cross multiply
    11,638.39x = 17,450.97 × 7,945.09
  4. Step 4: Simplify right side
    11,638.39x = 138,649,527.24
  5. Step 5: Solve for x
    x = 138,649,527.24/11,638.39
  6. Step 6: Final answer
    x = 11,913.12

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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.