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Finding the Fourth Proportional to 6,786.85, 10,180.50 and 3,228.22

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Solution

The fourth proportional to 6,786.85, 10,180.50 and 3,228.22 is: 4,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.85 : 10,180.50 = 3,228.22 : x
  2. Step 2: Convert to fraction form
    6,786.85/10,180.50 = 3,228.22/x
  3. Step 3: Cross multiply
    6,786.85x = 10,180.50 × 3,228.22
  4. Step 4: Simplify right side
    6,786.85x = 32,864,893.71
  5. Step 5: Solve for x
    x = 32,864,893.71/6,786.85
  6. Step 6: Final answer
    x = 4,842.44

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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.