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Finding the Fourth Proportional to 7,144.75, 10,721.99 and 2,527.75

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Solution

The fourth proportional to 7,144.75, 10,721.99 and 2,527.75 is: 3,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.75 : 10,721.99 = 2,527.75 : x
  2. Step 2: Convert to fraction form
    7,144.75/10,721.99 = 2,527.75/x
  3. Step 3: Cross multiply
    7,144.75x = 10,721.99 × 2,527.75
  4. Step 4: Simplify right side
    7,144.75x = 27,102,510.22
  5. Step 5: Solve for x
    x = 27,102,510.22/7,144.75
  6. Step 6: Final answer
    x = 3,793.35

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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.