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Finding the Fourth Proportional to 6,983.92, 10,481.36 and 6,163.84

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Solution

The fourth proportional to 6,983.92, 10,481.36 and 6,163.84 is: 9,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.92 : 10,481.36 = 6,163.84 : x
  2. Step 2: Convert to fraction form
    6,983.92/10,481.36 = 6,163.84/x
  3. Step 3: Cross multiply
    6,983.92x = 10,481.36 × 6,163.84
  4. Step 4: Simplify right side
    6,983.92x = 64,605,426.02
  5. Step 5: Solve for x
    x = 64,605,426.02/6,983.92
  6. Step 6: Final answer
    x = 9,250.60

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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.