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Finding the Fourth Proportional to 7,568, 11,351.92 and 2,954.24

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Solution

The fourth proportional to 7,568, 11,351.92 and 2,954.24 is: 4,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568 : 11,351.92 = 2,954.24 : x
  2. Step 2: Convert to fraction form
    7,568/11,351.92 = 2,954.24/x
  3. Step 3: Cross multiply
    7,568x = 11,351.92 × 2,954.24
  4. Step 4: Simplify right side
    7,568x = 33,536,296.14
  5. Step 5: Solve for x
    x = 33,536,296.14/7,568
  6. Step 6: Final answer
    x = 4,431.33

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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.