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Finding the Fourth Proportional to 7,446.96, 11,171.25 and 2,766.42

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Solution

The fourth proportional to 7,446.96, 11,171.25 and 2,766.42 is: 4,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.96 : 11,171.25 = 2,766.42 : x
  2. Step 2: Convert to fraction form
    7,446.96/11,171.25 = 2,766.42/x
  3. Step 3: Cross multiply
    7,446.96x = 11,171.25 × 2,766.42
  4. Step 4: Simplify right side
    7,446.96x = 30,904,369.43
  5. Step 5: Solve for x
    x = 30,904,369.43/7,446.96
  6. Step 6: Final answer
    x = 4,149.93

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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.