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Finding the Fourth Proportional to 8,286.45, 12,491.72 and 7,736.46

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Solution

The fourth proportional to 8,286.45, 12,491.72 and 7,736.46 is: 11,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.45 : 12,491.72 = 7,736.46 : x
  2. Step 2: Convert to fraction form
    8,286.45/12,491.72 = 7,736.46/x
  3. Step 3: Cross multiply
    8,286.45x = 12,491.72 × 7,736.46
  4. Step 4: Simplify right side
    8,286.45x = 96,641,653.43
  5. Step 5: Solve for x
    x = 96,641,653.43/8,286.45
  6. Step 6: Final answer
    x = 11,662.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.