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Finding the Fourth Proportional to 8,262.27, 11,406.38 and 6,369.71

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Solution

The fourth proportional to 8,262.27, 11,406.38 and 6,369.71 is: 8,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.27 : 11,406.38 = 6,369.71 : x
  2. Step 2: Convert to fraction form
    8,262.27/11,406.38 = 6,369.71/x
  3. Step 3: Cross multiply
    8,262.27x = 11,406.38 × 6,369.71
  4. Step 4: Simplify right side
    8,262.27x = 72,655,243.87
  5. Step 5: Solve for x
    x = 72,655,243.87/8,262.27
  6. Step 6: Final answer
    x = 8,793.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.