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Finding the Fourth Proportional to 7,234.54, 10,850.90 and 2,304.68

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Solution

The fourth proportional to 7,234.54, 10,850.90 and 2,304.68 is: 3,456.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.54 : 10,850.90 = 2,304.68 : x
  2. Step 2: Convert to fraction form
    7,234.54/10,850.90 = 2,304.68/x
  3. Step 3: Cross multiply
    7,234.54x = 10,850.90 × 2,304.68
  4. Step 4: Simplify right side
    7,234.54x = 25,007,786.43
  5. Step 5: Solve for x
    x = 25,007,786.43/7,234.54
  6. Step 6: Final answer
    x = 3,456.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.