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Finding the Fourth Proportional to 6,786.75, 10,182.44 and 3,821.61

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Solution

The fourth proportional to 6,786.75, 10,182.44 and 3,821.61 is: 5,733.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.75 : 10,182.44 = 3,821.61 : x
  2. Step 2: Convert to fraction form
    6,786.75/10,182.44 = 3,821.61/x
  3. Step 3: Cross multiply
    6,786.75x = 10,182.44 × 3,821.61
  4. Step 4: Simplify right side
    6,786.75x = 38,913,295.42
  5. Step 5: Solve for x
    x = 38,913,295.42/6,786.75
  6. Step 6: Final answer
    x = 5,733.72

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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.