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Finding the Fourth Proportional to 11,593.19, 17,391 and 3,802.61

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Solution

The fourth proportional to 11,593.19, 17,391 and 3,802.61 is: 5,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.19 : 17,391 = 3,802.61 : x
  2. Step 2: Convert to fraction form
    11,593.19/17,391 = 3,802.61/x
  3. Step 3: Cross multiply
    11,593.19x = 17,391 × 3,802.61
  4. Step 4: Simplify right side
    11,593.19x = 66,131,103.56
  5. Step 5: Solve for x
    x = 66,131,103.56/11,593.19
  6. Step 6: Final answer
    x = 5,704.31

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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.