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Finding the Fourth Proportional to 7,306.78, 10,084.08 and 4,163.44

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Solution

The fourth proportional to 7,306.78, 10,084.08 and 4,163.44 is: 5,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.78 : 10,084.08 = 4,163.44 : x
  2. Step 2: Convert to fraction form
    7,306.78/10,084.08 = 4,163.44/x
  3. Step 3: Cross multiply
    7,306.78x = 10,084.08 × 4,163.44
  4. Step 4: Simplify right side
    7,306.78x = 41,984,462.04
  5. Step 5: Solve for x
    x = 41,984,462.04/7,306.78
  6. Step 6: Final answer
    x = 5,745.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.