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Finding the Fourth Proportional to 10,798.56, 16,197.84 and 8,336.97

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Solution

The fourth proportional to 10,798.56, 16,197.84 and 8,336.97 is: 12,505.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.56 : 16,197.84 = 8,336.97 : x
  2. Step 2: Convert to fraction form
    10,798.56/16,197.84 = 8,336.97/x
  3. Step 3: Cross multiply
    10,798.56x = 16,197.84 × 8,336.97
  4. Step 4: Simplify right side
    10,798.56x = 135,040,906.14
  5. Step 5: Solve for x
    x = 135,040,906.14/10,798.56
  6. Step 6: Final answer
    x = 12,505.46

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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.