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Finding the Fourth Proportional to 6,745.86, 10,120.62 and 3,826.23

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Solution

The fourth proportional to 6,745.86, 10,120.62 and 3,826.23 is: 5,740.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.86 : 10,120.62 = 3,826.23 : x
  2. Step 2: Convert to fraction form
    6,745.86/10,120.62 = 3,826.23/x
  3. Step 3: Cross multiply
    6,745.86x = 10,120.62 × 3,826.23
  4. Step 4: Simplify right side
    6,745.86x = 38,723,819.86
  5. Step 5: Solve for x
    x = 38,723,819.86/6,745.86
  6. Step 6: Final answer
    x = 5,740.38

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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.