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Finding the Fourth Proportional to 11,404.50, 17,105.10 and 4,008.66

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Solution

The fourth proportional to 11,404.50, 17,105.10 and 4,008.66 is: 6,012.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,404.50 : 17,105.10 = 4,008.66 : x
  2. Step 2: Convert to fraction form
    11,404.50/17,105.10 = 4,008.66/x
  3. Step 3: Cross multiply
    11,404.50x = 17,105.10 × 4,008.66
  4. Step 4: Simplify right side
    11,404.50x = 68,568,530.17
  5. Step 5: Solve for x
    x = 68,568,530.17/11,404.50
  6. Step 6: Final answer
    x = 6,012.41

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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.