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Finding the Fourth Proportional to 8,256.72, 12,384.63 and 2,709.33

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Solution

The fourth proportional to 8,256.72, 12,384.63 and 2,709.33 is: 4,063.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.72 : 12,384.63 = 2,709.33 : x
  2. Step 2: Convert to fraction form
    8,256.72/12,384.63 = 2,709.33/x
  3. Step 3: Cross multiply
    8,256.72x = 12,384.63 × 2,709.33
  4. Step 4: Simplify right side
    8,256.72x = 33,554,049.60
  5. Step 5: Solve for x
    x = 33,554,049.60/8,256.72
  6. Step 6: Final answer
    x = 4,063.85

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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.