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Finding the Fourth Proportional to 11,540.25, 17,304.18 and 5,979.81

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Solution

The fourth proportional to 11,540.25, 17,304.18 and 5,979.81 is: 8,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.25 : 17,304.18 = 5,979.81 : x
  2. Step 2: Convert to fraction form
    11,540.25/17,304.18 = 5,979.81/x
  3. Step 3: Cross multiply
    11,540.25x = 17,304.18 × 5,979.81
  4. Step 4: Simplify right side
    11,540.25x = 103,475,708.61
  5. Step 5: Solve for x
    x = 103,475,708.61/11,540.25
  6. Step 6: Final answer
    x = 8,966.50

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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.