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Finding the Fourth Proportional to 7,568, 11,352.64 and 2,096

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Solution

The fourth proportional to 7,568, 11,352.64 and 2,096 is: 3,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568 : 11,352.64 = 2,096 : x
  2. Step 2: Convert to fraction form
    7,568/11,352.64 = 2,096/x
  3. Step 3: Cross multiply
    7,568x = 11,352.64 × 2,096
  4. Step 4: Simplify right side
    7,568x = 23,795,133.44
  5. Step 5: Solve for x
    x = 23,795,133.44/7,568
  6. Step 6: Final answer
    x = 3,144.18

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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.