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Finding the Fourth Proportional to 11,493.25, 17,231.09 and 5,943.05

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Solution

The fourth proportional to 11,493.25, 17,231.09 and 5,943.05 is: 8,910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.25 : 17,231.09 = 5,943.05 : x
  2. Step 2: Convert to fraction form
    11,493.25/17,231.09 = 5,943.05/x
  3. Step 3: Cross multiply
    11,493.25x = 17,231.09 × 5,943.05
  4. Step 4: Simplify right side
    11,493.25x = 102,405,158.13
  5. Step 5: Solve for x
    x = 102,405,158.13/11,493.25
  6. Step 6: Final answer
    x = 8,910.03

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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.