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Finding the Fourth Proportional to 7,234.49, 10,851.53 and 2,304.43

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Solution

The fourth proportional to 7,234.49, 10,851.53 and 2,304.43 is: 3,456.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.49 : 10,851.53 = 2,304.43 : x
  2. Step 2: Convert to fraction form
    7,234.49/10,851.53 = 2,304.43/x
  3. Step 3: Cross multiply
    7,234.49x = 10,851.53 × 2,304.43
  4. Step 4: Simplify right side
    7,234.49x = 25,006,525.50
  5. Step 5: Solve for x
    x = 25,006,525.50/7,234.49
  6. Step 6: Final answer
    x = 3,456.57

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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.