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Finding the Fourth Proportional to 11,839.48, 17,759.86 and 3,074.16

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Solution

The fourth proportional to 11,839.48, 17,759.86 and 3,074.16 is: 4,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,839.48 : 17,759.86 = 3,074.16 : x
  2. Step 2: Convert to fraction form
    11,839.48/17,759.86 = 3,074.16/x
  3. Step 3: Cross multiply
    11,839.48x = 17,759.86 × 3,074.16
  4. Step 4: Simplify right side
    11,839.48x = 54,596,651.22
  5. Step 5: Solve for x
    x = 54,596,651.22/11,839.48
  6. Step 6: Final answer
    x = 4,611.41

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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.