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Finding the Fourth Proportional to 8,632.36, 11,917.75 and 8,134.14

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Solution

The fourth proportional to 8,632.36, 11,917.75 and 8,134.14 is: 11,229.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.36 : 11,917.75 = 8,134.14 : x
  2. Step 2: Convert to fraction form
    8,632.36/11,917.75 = 8,134.14/x
  3. Step 3: Cross multiply
    8,632.36x = 11,917.75 × 8,134.14
  4. Step 4: Simplify right side
    8,632.36x = 96,940,626.65
  5. Step 5: Solve for x
    x = 96,940,626.65/8,632.36
  6. Step 6: Final answer
    x = 11,229.91

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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.