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Finding the Fourth Proportional to 8,211.81, 11,306.21 and 7,163.49

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Solution

The fourth proportional to 8,211.81, 11,306.21 and 7,163.49 is: 9,862.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.81 : 11,306.21 = 7,163.49 : x
  2. Step 2: Convert to fraction form
    8,211.81/11,306.21 = 7,163.49/x
  3. Step 3: Cross multiply
    8,211.81x = 11,306.21 × 7,163.49
  4. Step 4: Simplify right side
    8,211.81x = 80,991,886.46
  5. Step 5: Solve for x
    x = 80,991,886.46/8,211.81
  6. Step 6: Final answer
    x = 9,862.85

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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.