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Finding the Fourth Proportional to 8,108.27, 11,191.20 and 5,270.71

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Solution

The fourth proportional to 8,108.27, 11,191.20 and 5,270.71 is: 7,274.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.27 : 11,191.20 = 5,270.71 : x
  2. Step 2: Convert to fraction form
    8,108.27/11,191.20 = 5,270.71/x
  3. Step 3: Cross multiply
    8,108.27x = 11,191.20 × 5,270.71
  4. Step 4: Simplify right side
    8,108.27x = 58,985,561.54
  5. Step 5: Solve for x
    x = 58,985,561.54/8,108.27
  6. Step 6: Final answer
    x = 7,274.74

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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.