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Finding the Fourth Proportional to 11,920.54, 16,451.38 and 6,616.38

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Solution

The fourth proportional to 11,920.54, 16,451.38 and 6,616.38 is: 9,131.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.54 : 16,451.38 = 6,616.38 : x
  2. Step 2: Convert to fraction form
    11,920.54/16,451.38 = 6,616.38/x
  3. Step 3: Cross multiply
    11,920.54x = 16,451.38 × 6,616.38
  4. Step 4: Simplify right side
    11,920.54x = 108,848,581.60
  5. Step 5: Solve for x
    x = 108,848,581.60/11,920.54
  6. Step 6: Final answer
    x = 9,131.18

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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.