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Finding the Fourth Proportional to 6,745.38, 10,122.14 and 5,363.52

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Solution

The fourth proportional to 6,745.38, 10,122.14 and 5,363.52 is: 8,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.38 : 10,122.14 = 5,363.52 : x
  2. Step 2: Convert to fraction form
    6,745.38/10,122.14 = 5,363.52/x
  3. Step 3: Cross multiply
    6,745.38x = 10,122.14 × 5,363.52
  4. Step 4: Simplify right side
    6,745.38x = 54,290,273.52
  5. Step 5: Solve for x
    x = 54,290,273.52/6,745.38
  6. Step 6: Final answer
    x = 8,048.51

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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.