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Finding the Fourth Proportional to 8,256.84, 12,382.41 and 2,709.37

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Solution

The fourth proportional to 8,256.84, 12,382.41 and 2,709.37 is: 4,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.84 : 12,382.41 = 2,709.37 : x
  2. Step 2: Convert to fraction form
    8,256.84/12,382.41 = 2,709.37/x
  3. Step 3: Cross multiply
    8,256.84x = 12,382.41 × 2,709.37
  4. Step 4: Simplify right side
    8,256.84x = 33,548,571.60
  5. Step 5: Solve for x
    x = 33,548,571.60/8,256.84
  6. Step 6: Final answer
    x = 4,063.13

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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.