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Finding the Fourth Proportional to 8,318.82, 11,464.13 and 5,956.86

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Solution

The fourth proportional to 8,318.82, 11,464.13 and 5,956.86 is: 8,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.82 : 11,464.13 = 5,956.86 : x
  2. Step 2: Convert to fraction form
    8,318.82/11,464.13 = 5,956.86/x
  3. Step 3: Cross multiply
    8,318.82x = 11,464.13 × 5,956.86
  4. Step 4: Simplify right side
    8,318.82x = 68,290,187.65
  5. Step 5: Solve for x
    x = 68,290,187.65/8,318.82
  6. Step 6: Final answer
    x = 8,209.12

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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.