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Finding the Fourth Proportional to 11,234.50, 16,853.73 and 3,837.22

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Solution

The fourth proportional to 11,234.50, 16,853.73 and 3,837.22 is: 5,756.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.50 : 16,853.73 = 3,837.22 : x
  2. Step 2: Convert to fraction form
    11,234.50/16,853.73 = 3,837.22/x
  3. Step 3: Cross multiply
    11,234.50x = 16,853.73 × 3,837.22
  4. Step 4: Simplify right side
    11,234.50x = 64,671,469.83
  5. Step 5: Solve for x
    x = 64,671,469.83/11,234.50
  6. Step 6: Final answer
    x = 5,756.51

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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.