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Finding the Fourth Proportional to 11,874.03, 17,843.36 and 6,331.29

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Solution

The fourth proportional to 11,874.03, 17,843.36 and 6,331.29 is: 9,514.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.03 : 17,843.36 = 6,331.29 : x
  2. Step 2: Convert to fraction form
    11,874.03/17,843.36 = 6,331.29/x
  3. Step 3: Cross multiply
    11,874.03x = 17,843.36 × 6,331.29
  4. Step 4: Simplify right side
    11,874.03x = 112,971,455.08
  5. Step 5: Solve for x
    x = 112,971,455.08/11,874.03
  6. Step 6: Final answer
    x = 9,514.16

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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.