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Finding the Fourth Proportional to 11,163.28, 16,738.44 and 4,234

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Solution

The fourth proportional to 11,163.28, 16,738.44 and 4,234 is: 6,348.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.28 : 16,738.44 = 4,234 : x
  2. Step 2: Convert to fraction form
    11,163.28/16,738.44 = 4,234/x
  3. Step 3: Cross multiply
    11,163.28x = 16,738.44 × 4,234
  4. Step 4: Simplify right side
    11,163.28x = 70,870,554.96
  5. Step 5: Solve for x
    x = 70,870,554.96/11,163.28
  6. Step 6: Final answer
    x = 6,348.54

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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.