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Finding the Fourth Proportional to 11,839.88, 17,760.70 and 3,074.84

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Solution

The fourth proportional to 11,839.88, 17,760.70 and 3,074.84 is: 4,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.88 : 17,760.70 = 3,074.84 : x
  2. Step 2: Convert to fraction form
    11,839.88/17,760.70 = 3,074.84/x
  3. Step 3: Cross multiply
    11,839.88x = 17,760.70 × 3,074.84
  4. Step 4: Simplify right side
    11,839.88x = 54,611,310.79
  5. Step 5: Solve for x
    x = 54,611,310.79/11,839.88
  6. Step 6: Final answer
    x = 4,612.49

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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.