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Finding the Fourth Proportional to 8,161.76, 11,259.20 and 5,327.82

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Solution

The fourth proportional to 8,161.76, 11,259.20 and 5,327.82 is: 7,349.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.76 : 11,259.20 = 5,327.82 : x
  2. Step 2: Convert to fraction form
    8,161.76/11,259.20 = 5,327.82/x
  3. Step 3: Cross multiply
    8,161.76x = 11,259.20 × 5,327.82
  4. Step 4: Simplify right side
    8,161.76x = 59,986,990.94
  5. Step 5: Solve for x
    x = 59,986,990.94/8,161.76
  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.