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Finding the Fourth Proportional to 8,183.65, 11,268.11 and 6,398.36

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Solution

The fourth proportional to 8,183.65, 11,268.11 and 6,398.36 is: 8,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.65 : 11,268.11 = 6,398.36 : x
  2. Step 2: Convert to fraction form
    8,183.65/11,268.11 = 6,398.36/x
  3. Step 3: Cross multiply
    8,183.65x = 11,268.11 × 6,398.36
  4. Step 4: Simplify right side
    8,183.65x = 72,097,426.21
  5. Step 5: Solve for x
    x = 72,097,426.21/8,183.65
  6. Step 6: Final answer
    x = 8,809.94

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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.