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Finding the Fourth Proportional to 11,471.08, 17,163.13 and 6,793.60

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Solution

The fourth proportional to 11,471.08, 17,163.13 and 6,793.60 is: 10,164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.08 : 17,163.13 = 6,793.60 : x
  2. Step 2: Convert to fraction form
    11,471.08/17,163.13 = 6,793.60/x
  3. Step 3: Cross multiply
    11,471.08x = 17,163.13 × 6,793.60
  4. Step 4: Simplify right side
    11,471.08x = 116,599,439.97
  5. Step 5: Solve for x
    x = 116,599,439.97/11,471.08
  6. Step 6: Final answer
    x = 10,164.64

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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.