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Finding the Fourth Proportional to 11,383.62, 15,708.91 and 8,398.38

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Solution

The fourth proportional to 11,383.62, 15,708.91 and 8,398.38 is: 11,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.62 : 15,708.91 = 8,398.38 : x
  2. Step 2: Convert to fraction form
    11,383.62/15,708.91 = 8,398.38/x
  3. Step 3: Cross multiply
    11,383.62x = 15,708.91 × 8,398.38
  4. Step 4: Simplify right side
    11,383.62x = 131,929,395.57
  5. Step 5: Solve for x
    x = 131,929,395.57/11,383.62
  6. Step 6: Final answer
    x = 11,589.41

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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.