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Finding the Fourth Proportional to 7,226.94, 10,841.92 and 4,108.38

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Solution

The fourth proportional to 7,226.94, 10,841.92 and 4,108.38 is: 6,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.94 : 10,841.92 = 4,108.38 : x
  2. Step 2: Convert to fraction form
    7,226.94/10,841.92 = 4,108.38/x
  3. Step 3: Cross multiply
    7,226.94x = 10,841.92 × 4,108.38
  4. Step 4: Simplify right side
    7,226.94x = 44,542,727.29
  5. Step 5: Solve for x
    x = 44,542,727.29/7,226.94
  6. Step 6: Final answer
    x = 6,163.43

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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.