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Finding the Fourth Proportional to 11,774.88, 17,654.28 and 3,874.49

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Solution

The fourth proportional to 11,774.88, 17,654.28 and 3,874.49 is: 5,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.88 : 17,654.28 = 3,874.49 : x
  2. Step 2: Convert to fraction form
    11,774.88/17,654.28 = 3,874.49/x
  3. Step 3: Cross multiply
    11,774.88x = 17,654.28 × 3,874.49
  4. Step 4: Simplify right side
    11,774.88x = 68,401,331.32
  5. Step 5: Solve for x
    x = 68,401,331.32/11,774.88
  6. Step 6: Final answer
    x = 5,809.09

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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.