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Finding the Fourth Proportional to 11,223.36, 16,859.34 and 6,843.42

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Solution

The fourth proportional to 11,223.36, 16,859.34 and 6,843.42 is: 10,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.36 : 16,859.34 = 6,843.42 : x
  2. Step 2: Convert to fraction form
    11,223.36/16,859.34 = 6,843.42/x
  3. Step 3: Cross multiply
    11,223.36x = 16,859.34 × 6,843.42
  4. Step 4: Simplify right side
    11,223.36x = 115,375,544.54
  5. Step 5: Solve for x
    x = 115,375,544.54/11,223.36
  6. Step 6: Final answer
    x = 10,279.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.