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Finding the Fourth Proportional to 7,745.92, 11,610.75 and 3,791.72

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Solution

The fourth proportional to 7,745.92, 11,610.75 and 3,791.72 is: 5,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.92 : 11,610.75 = 3,791.72 : x
  2. Step 2: Convert to fraction form
    7,745.92/11,610.75 = 3,791.72/x
  3. Step 3: Cross multiply
    7,745.92x = 11,610.75 × 3,791.72
  4. Step 4: Simplify right side
    7,745.92x = 44,024,694.03
  5. Step 5: Solve for x
    x = 44,024,694.03/7,745.92
  6. Step 6: Final answer
    x = 5,683.60

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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.