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Finding the Fourth Proportional to 7,163.97, 10,730.38 and 4,382.23

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Solution

The fourth proportional to 7,163.97, 10,730.38 and 4,382.23 is: 6,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.97 : 10,730.38 = 4,382.23 : x
  2. Step 2: Convert to fraction form
    7,163.97/10,730.38 = 4,382.23/x
  3. Step 3: Cross multiply
    7,163.97x = 10,730.38 × 4,382.23
  4. Step 4: Simplify right side
    7,163.97x = 47,022,993.15
  5. Step 5: Solve for x
    x = 47,022,993.15/7,163.97
  6. Step 6: Final answer
    x = 6,563.82

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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.