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Finding the Fourth Proportional to 8,286.69, 11,433.72 and 6,049.77

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Solution

The fourth proportional to 8,286.69, 11,433.72 and 6,049.77 is: 8,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.69 : 11,433.72 = 6,049.77 : x
  2. Step 2: Convert to fraction form
    8,286.69/11,433.72 = 6,049.77/x
  3. Step 3: Cross multiply
    8,286.69x = 11,433.72 × 6,049.77
  4. Step 4: Simplify right side
    8,286.69x = 69,171,376.24
  5. Step 5: Solve for x
    x = 69,171,376.24/8,286.69
  6. Step 6: Final answer
    x = 8,347.29

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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.