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Finding the Fourth Proportional to 8,256.63, 12,376.80 and 5,286.62

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Solution

The fourth proportional to 8,256.63, 12,376.80 and 5,286.62 is: 7,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.63 : 12,376.80 = 5,286.62 : x
  2. Step 2: Convert to fraction form
    8,256.63/12,376.80 = 5,286.62/x
  3. Step 3: Cross multiply
    8,256.63x = 12,376.80 × 5,286.62
  4. Step 4: Simplify right side
    8,256.63x = 65,431,469.36
  5. Step 5: Solve for x
    x = 65,431,469.36/8,256.63
  6. Step 6: Final answer
    x = 7,924.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.