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Finding the Fourth Proportional to 8,279.40, 11,426.76 and 6,286.68

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Solution

The fourth proportional to 8,279.40, 11,426.76 and 6,286.68 is: 8,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.40 : 11,426.76 = 6,286.68 : x
  2. Step 2: Convert to fraction form
    8,279.40/11,426.76 = 6,286.68/x
  3. Step 3: Cross multiply
    8,279.40x = 11,426.76 × 6,286.68
  4. Step 4: Simplify right side
    8,279.40x = 71,836,383.56
  5. Step 5: Solve for x
    x = 71,836,383.56/8,279.40
  6. Step 6: Final answer
    x = 8,676.52

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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.