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Finding the Fourth Proportional to 11,840.26, 17,760.40 and 4,049.14

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Solution

The fourth proportional to 11,840.26, 17,760.40 and 4,049.14 is: 6,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.26 : 17,760.40 = 4,049.14 : x
  2. Step 2: Convert to fraction form
    11,840.26/17,760.40 = 4,049.14/x
  3. Step 3: Cross multiply
    11,840.26x = 17,760.40 × 4,049.14
  4. Step 4: Simplify right side
    11,840.26x = 71,914,346.06
  5. Step 5: Solve for x
    x = 71,914,346.06/11,840.26
  6. Step 6: Final answer
    x = 6,073.71

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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.