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Finding the Fourth Proportional to 8,107.92, 11,188.11 and 5,984.61

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Solution

The fourth proportional to 8,107.92, 11,188.11 and 5,984.61 is: 8,258.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.92 : 11,188.11 = 5,984.61 : x
  2. Step 2: Convert to fraction form
    8,107.92/11,188.11 = 5,984.61/x
  3. Step 3: Cross multiply
    8,107.92x = 11,188.11 × 5,984.61
  4. Step 4: Simplify right side
    8,107.92x = 66,956,474.99
  5. Step 5: Solve for x
    x = 66,956,474.99/8,107.92
  6. Step 6: Final answer
    x = 8,258.16

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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.