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Finding the Fourth Proportional to 7,306.92, 10,962 and 2,112.84

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Solution

The fourth proportional to 7,306.92, 10,962 and 2,112.84 is: 3,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.92 : 10,962 = 2,112.84 : x
  2. Step 2: Convert to fraction form
    7,306.92/10,962 = 2,112.84/x
  3. Step 3: Cross multiply
    7,306.92x = 10,962 × 2,112.84
  4. Step 4: Simplify right side
    7,306.92x = 23,160,952.08
  5. Step 5: Solve for x
    x = 23,160,952.08/7,306.92
  6. Step 6: Final answer
    x = 3,169.73

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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.