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Finding the Fourth Proportional to 8,105.68, 11,188.26 and 4,749.22

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Solution

The fourth proportional to 8,105.68, 11,188.26 and 4,749.22 is: 6,555.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.68 : 11,188.26 = 4,749.22 : x
  2. Step 2: Convert to fraction form
    8,105.68/11,188.26 = 4,749.22/x
  3. Step 3: Cross multiply
    8,105.68x = 11,188.26 × 4,749.22
  4. Step 4: Simplify right side
    8,105.68x = 53,135,508.16
  5. Step 5: Solve for x
    x = 53,135,508.16/8,105.68
  6. Step 6: Final answer
    x = 6,555.34

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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.