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Finding the Fourth Proportional to 8,161.75, 11,259.20 and 5,327.81

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Solution

The fourth proportional to 8,161.75, 11,259.20 and 5,327.81 is: 7,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.75 : 11,259.20 = 5,327.81 : x
  2. Step 2: Convert to fraction form
    8,161.75/11,259.20 = 5,327.81/x
  3. Step 3: Cross multiply
    8,161.75x = 11,259.20 × 5,327.81
  4. Step 4: Simplify right side
    8,161.75x = 59,986,878.35
  5. Step 5: Solve for x
    x = 59,986,878.35/8,161.75
  6. Step 6: Final answer
    x = 7,349.76

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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.