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Finding the Fourth Proportional to 8,306.24, 11,453.68 and 8,183.68

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Solution

The fourth proportional to 8,306.24, 11,453.68 and 8,183.68 is: 11,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,306.24 : 11,453.68 = 8,183.68 : x
  2. Step 2: Convert to fraction form
    8,306.24/11,453.68 = 8,183.68/x
  3. Step 3: Cross multiply
    8,306.24x = 11,453.68 × 8,183.68
  4. Step 4: Simplify right side
    8,306.24x = 93,733,251.94
  5. Step 5: Solve for x
    x = 93,733,251.94/8,306.24
  6. Step 6: Final answer
    x = 11,284.68

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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.