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Finding the Fourth Proportional to 11,745.18, 17,583.21 and 7,839.90

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Solution

The fourth proportional to 11,745.18, 17,583.21 and 7,839.90 is: 11,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745.18 : 17,583.21 = 7,839.90 : x
  2. Step 2: Convert to fraction form
    11,745.18/17,583.21 = 7,839.90/x
  3. Step 3: Cross multiply
    11,745.18x = 17,583.21 × 7,839.90
  4. Step 4: Simplify right side
    11,745.18x = 137,850,608.08
  5. Step 5: Solve for x
    x = 137,850,608.08/11,745.18
  6. Step 6: Final answer
    x = 11,736.78

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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.