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Finding the Fourth Proportional to 11,965.50, 17,951.13 and 3,757.50

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Solution

The fourth proportional to 11,965.50, 17,951.13 and 3,757.50 is: 5,637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.50 : 17,951.13 = 3,757.50 : x
  2. Step 2: Convert to fraction form
    11,965.50/17,951.13 = 3,757.50/x
  3. Step 3: Cross multiply
    11,965.50x = 17,951.13 × 3,757.50
  4. Step 4: Simplify right side
    11,965.50x = 67,451,370.98
  5. Step 5: Solve for x
    x = 67,451,370.98/11,965.50
  6. Step 6: Final answer
    x = 5,637.15

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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.