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Finding the Fourth Proportional to 11,965.77, 17,951.50 and 3,757.77

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Solution

The fourth proportional to 11,965.77, 17,951.50 and 3,757.77 is: 5,637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.77 : 17,951.50 = 3,757.77 : x
  2. Step 2: Convert to fraction form
    11,965.77/17,951.50 = 3,757.77/x
  3. Step 3: Cross multiply
    11,965.77x = 17,951.50 × 3,757.77
  4. Step 4: Simplify right side
    11,965.77x = 67,457,608.16
  5. Step 5: Solve for x
    x = 67,457,608.16/11,965.77
  6. Step 6: Final answer
    x = 5,637.55

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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.