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Finding the Fourth Proportional to 11,827.18, 17,744.02 and 6,205.22

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Solution

The fourth proportional to 11,827.18, 17,744.02 and 6,205.22 is: 9,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.18 : 17,744.02 = 6,205.22 : x
  2. Step 2: Convert to fraction form
    11,827.18/17,744.02 = 6,205.22/x
  3. Step 3: Cross multiply
    11,827.18x = 17,744.02 × 6,205.22
  4. Step 4: Simplify right side
    11,827.18x = 110,105,443.55
  5. Step 5: Solve for x
    x = 110,105,443.55/11,827.18
  6. Step 6: Final answer
    x = 9,309.53

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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.