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Finding the Fourth Proportional to 8,255.72, 12,384.41 and 2,709.09

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Solution

The fourth proportional to 8,255.72, 12,384.41 and 2,709.09 is: 4,063.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.72 : 12,384.41 = 2,709.09 : x
  2. Step 2: Convert to fraction form
    8,255.72/12,384.41 = 2,709.09/x
  3. Step 3: Cross multiply
    8,255.72x = 12,384.41 × 2,709.09
  4. Step 4: Simplify right side
    8,255.72x = 33,550,467.74
  5. Step 5: Solve for x
    x = 33,550,467.74/8,255.72
  6. Step 6: Final answer
    x = 4,063.90

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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.