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Finding the Fourth Proportional to 8,286.84, 11,424.60 and 5,924.88

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Solution

The fourth proportional to 8,286.84, 11,424.60 and 5,924.88 is: 8,168.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.84 : 11,424.60 = 5,924.88 : x
  2. Step 2: Convert to fraction form
    8,286.84/11,424.60 = 5,924.88/x
  3. Step 3: Cross multiply
    8,286.84x = 11,424.60 × 5,924.88
  4. Step 4: Simplify right side
    8,286.84x = 67,689,384.05
  5. Step 5: Solve for x
    x = 67,689,384.05/8,286.84
  6. Step 6: Final answer
    x = 8,168.30

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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.