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Finding the Fourth Proportional to 7,481.34, 11,223.27 and 2,286

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Solution

The fourth proportional to 7,481.34, 11,223.27 and 2,286 is: 3,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.34 : 11,223.27 = 2,286 : x
  2. Step 2: Convert to fraction form
    7,481.34/11,223.27 = 2,286/x
  3. Step 3: Cross multiply
    7,481.34x = 11,223.27 × 2,286
  4. Step 4: Simplify right side
    7,481.34x = 25,656,395.22
  5. Step 5: Solve for x
    x = 25,656,395.22/7,481.34
  6. Step 6: Final answer
    x = 3,429.39

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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.