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Finding the Fourth Proportional to 8,068.27, 11,138.77 and 5,238.20

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Solution

The fourth proportional to 8,068.27, 11,138.77 and 5,238.20 is: 7,231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.27 : 11,138.77 = 5,238.20 : x
  2. Step 2: Convert to fraction form
    8,068.27/11,138.77 = 5,238.20/x
  3. Step 3: Cross multiply
    8,068.27x = 11,138.77 × 5,238.20
  4. Step 4: Simplify right side
    8,068.27x = 58,347,105.01
  5. Step 5: Solve for x
    x = 58,347,105.01/8,068.27
  6. Step 6: Final answer
    x = 7,231.67

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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.