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Finding the Fourth Proportional to 7,306.24, 10,083 and 4,163.44

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Solution

The fourth proportional to 7,306.24, 10,083 and 4,163.44 is: 5,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.24 : 10,083 = 4,163.44 : x
  2. Step 2: Convert to fraction form
    7,306.24/10,083 = 4,163.44/x
  3. Step 3: Cross multiply
    7,306.24x = 10,083 × 4,163.44
  4. Step 4: Simplify right side
    7,306.24x = 41,979,965.52
  5. Step 5: Solve for x
    x = 41,979,965.52/7,306.24
  6. Step 6: Final answer
    x = 5,745.77

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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.