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Finding the Fourth Proportional to 11,616.73, 17,422.97 and 5,290.11

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Solution

The fourth proportional to 11,616.73, 17,422.97 and 5,290.11 is: 7,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.73 : 17,422.97 = 5,290.11 : x
  2. Step 2: Convert to fraction form
    11,616.73/17,422.97 = 5,290.11/x
  3. Step 3: Cross multiply
    11,616.73x = 17,422.97 × 5,290.11
  4. Step 4: Simplify right side
    11,616.73x = 92,169,450.38
  5. Step 5: Solve for x
    x = 92,169,450.38/11,616.73
  6. Step 6: Final answer
    x = 7,934.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.