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Finding the Fourth Proportional to 11,945.39, 16,471.35 and 8,169.17

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Solution

The fourth proportional to 11,945.39, 16,471.35 and 8,169.17 is: 11,264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,945.39 : 16,471.35 = 8,169.17 : x
  2. Step 2: Convert to fraction form
    11,945.39/16,471.35 = 8,169.17/x
  3. Step 3: Cross multiply
    11,945.39x = 16,471.35 × 8,169.17
  4. Step 4: Simplify right side
    11,945.39x = 134,557,258.28
  5. Step 5: Solve for x
    x = 134,557,258.28/11,945.39
  6. Step 6: Final answer
    x = 11,264.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.