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Finding the Fourth Proportional to 11,781.64, 17,674.89 and 3,990.25

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Solution

The fourth proportional to 11,781.64, 17,674.89 and 3,990.25 is: 5,986.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.64 : 17,674.89 = 3,990.25 : x
  2. Step 2: Convert to fraction form
    11,781.64/17,674.89 = 3,990.25/x
  3. Step 3: Cross multiply
    11,781.64x = 17,674.89 × 3,990.25
  4. Step 4: Simplify right side
    11,781.64x = 70,527,229.82
  5. Step 5: Solve for x
    x = 70,527,229.82/11,781.64
  6. Step 6: Final answer
    x = 5,986.20

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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.