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Finding the Fourth Proportional to 11,397.21, 17,103.84 and 4,002.24

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Solution

The fourth proportional to 11,397.21, 17,103.84 and 4,002.24 is: 6,006.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,397.21 : 17,103.84 = 4,002.24 : x
  2. Step 2: Convert to fraction form
    11,397.21/17,103.84 = 4,002.24/x
  3. Step 3: Cross multiply
    11,397.21x = 17,103.84 × 4,002.24
  4. Step 4: Simplify right side
    11,397.21x = 68,453,755.50
  5. Step 5: Solve for x
    x = 68,453,755.50/11,397.21
  6. Step 6: Final answer
    x = 6,006.19

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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.