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Finding the Fourth Proportional to 7,294.50, 10,932.23 and 3,344.33

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Solution

The fourth proportional to 7,294.50, 10,932.23 and 3,344.33 is: 5,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,294.50 : 10,932.23 = 3,344.33 : x
  2. Step 2: Convert to fraction form
    7,294.50/10,932.23 = 3,344.33/x
  3. Step 3: Cross multiply
    7,294.50x = 10,932.23 × 3,344.33
  4. Step 4: Simplify right side
    7,294.50x = 36,560,968.03
  5. Step 5: Solve for x
    x = 36,560,968.03/7,294.50
  6. Step 6: Final answer
    x = 5,012.13

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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.