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Finding the Fourth Proportional to 7,811.92, 11,704.11 and 4,105.36

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Solution

The fourth proportional to 7,811.92, 11,704.11 and 4,105.36 is: 6,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.92 : 11,704.11 = 4,105.36 : x
  2. Step 2: Convert to fraction form
    7,811.92/11,704.11 = 4,105.36/x
  3. Step 3: Cross multiply
    7,811.92x = 11,704.11 × 4,105.36
  4. Step 4: Simplify right side
    7,811.92x = 48,049,585.03
  5. Step 5: Solve for x
    x = 48,049,585.03/7,811.92
  6. Step 6: Final answer
    x = 6,150.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.