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Finding the Fourth Proportional to 7,920.75, 11,882.34 and 5,745.90

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Solution

The fourth proportional to 7,920.75, 11,882.34 and 5,745.90 is: 8,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.75 : 11,882.34 = 5,745.90 : x
  2. Step 2: Convert to fraction form
    7,920.75/11,882.34 = 5,745.90/x
  3. Step 3: Cross multiply
    7,920.75x = 11,882.34 × 5,745.90
  4. Step 4: Simplify right side
    7,920.75x = 68,274,737.41
  5. Step 5: Solve for x
    x = 68,274,737.41/7,920.75
  6. Step 6: Final answer
    x = 8,619.73

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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.