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Finding the Fourth Proportional to 8,183.76, 11,298.24 and 5,394.12

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Solution

The fourth proportional to 8,183.76, 11,298.24 and 5,394.12 is: 7,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.76 : 11,298.24 = 5,394.12 : x
  2. Step 2: Convert to fraction form
    8,183.76/11,298.24 = 5,394.12/x
  3. Step 3: Cross multiply
    8,183.76x = 11,298.24 × 5,394.12
  4. Step 4: Simplify right side
    8,183.76x = 60,944,062.35
  5. Step 5: Solve for x
    x = 60,944,062.35/8,183.76
  6. Step 6: Final answer
    x = 7,446.95

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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.