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Finding the Fourth Proportional to 7,241.75, 10,863.09 and 2,048.03

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Solution

The fourth proportional to 7,241.75, 10,863.09 and 2,048.03 is: 3,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.75 : 10,863.09 = 2,048.03 : x
  2. Step 2: Convert to fraction form
    7,241.75/10,863.09 = 2,048.03/x
  3. Step 3: Cross multiply
    7,241.75x = 10,863.09 × 2,048.03
  4. Step 4: Simplify right side
    7,241.75x = 22,247,923.97
  5. Step 5: Solve for x
    x = 22,247,923.97/7,241.75
  6. Step 6: Final answer
    x = 3,072.18

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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.