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Finding the Fourth Proportional to 7,162.11, 10,745.49 and 3,464.76

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Solution

The fourth proportional to 7,162.11, 10,745.49 and 3,464.76 is: 5,198.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.11 : 10,745.49 = 3,464.76 : x
  2. Step 2: Convert to fraction form
    7,162.11/10,745.49 = 3,464.76/x
  3. Step 3: Cross multiply
    7,162.11x = 10,745.49 × 3,464.76
  4. Step 4: Simplify right side
    7,162.11x = 37,230,543.93
  5. Step 5: Solve for x
    x = 37,230,543.93/7,162.11
  6. Step 6: Final answer
    x = 5,198.26

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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.