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Finding the Fourth Proportional to 11,489.42, 17,218.06 and 6,213.04

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Solution

The fourth proportional to 11,489.42, 17,218.06 and 6,213.04 is: 9,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.42 : 17,218.06 = 6,213.04 : x
  2. Step 2: Convert to fraction form
    11,489.42/17,218.06 = 6,213.04/x
  3. Step 3: Cross multiply
    11,489.42x = 17,218.06 × 6,213.04
  4. Step 4: Simplify right side
    11,489.42x = 106,976,495.50
  5. Step 5: Solve for x
    x = 106,976,495.50/11,489.42
  6. Step 6: Final answer
    x = 9,310.87

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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.