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Finding the Fourth Proportional to 11,757.93, 17,638.43 and 6,211.48

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Solution

The fourth proportional to 11,757.93, 17,638.43 and 6,211.48 is: 9,318.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.93 : 17,638.43 = 6,211.48 : x
  2. Step 2: Convert to fraction form
    11,757.93/17,638.43 = 6,211.48/x
  3. Step 3: Cross multiply
    11,757.93x = 17,638.43 × 6,211.48
  4. Step 4: Simplify right side
    11,757.93x = 109,560,755.18
  5. Step 5: Solve for x
    x = 109,560,755.18/11,757.93
  6. Step 6: Final answer
    x = 9,318.03

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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.