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Finding the Fourth Proportional to 6,167.96, 8,512.26 and 5,105.42

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Solution

The fourth proportional to 6,167.96, 8,512.26 and 5,105.42 is: 7,045.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,167.96 : 8,512.26 = 5,105.42 : x
  2. Step 2: Convert to fraction form
    6,167.96/8,512.26 = 5,105.42/x
  3. Step 3: Cross multiply
    6,167.96x = 8,512.26 × 5,105.42
  4. Step 4: Simplify right side
    6,167.96x = 43,458,662.45
  5. Step 5: Solve for x
    x = 43,458,662.45/6,167.96
  6. Step 6: Final answer
    x = 7,045.87

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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.