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Finding the Fourth Proportional to 8,179.96, 11,282.26 and 5,193.20

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Solution

The fourth proportional to 8,179.96, 11,282.26 and 5,193.20 is: 7,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.96 : 11,282.26 = 5,193.20 : x
  2. Step 2: Convert to fraction form
    8,179.96/11,282.26 = 5,193.20/x
  3. Step 3: Cross multiply
    8,179.96x = 11,282.26 × 5,193.20
  4. Step 4: Simplify right side
    8,179.96x = 58,591,032.63
  5. Step 5: Solve for x
    x = 58,591,032.63/8,179.96
  6. Step 6: Final answer
    x = 7,162.75

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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.