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Finding the Fourth Proportional to 8,286.23, 11,434.97 and 4,509.33

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Solution

The fourth proportional to 8,286.23, 11,434.97 and 4,509.33 is: 6,222.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.23 : 11,434.97 = 4,509.33 : x
  2. Step 2: Convert to fraction form
    8,286.23/11,434.97 = 4,509.33/x
  3. Step 3: Cross multiply
    8,286.23x = 11,434.97 × 4,509.33
  4. Step 4: Simplify right side
    8,286.23x = 51,564,064.54
  5. Step 5: Solve for x
    x = 51,564,064.54/8,286.23
  6. Step 6: Final answer
    x = 6,222.86

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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.