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Finding the Fourth Proportional to 8,321.50, 11,481.94 and 4,871.44

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Solution

The fourth proportional to 8,321.50, 11,481.94 and 4,871.44 is: 6,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.50 : 11,481.94 = 4,871.44 : x
  2. Step 2: Convert to fraction form
    8,321.50/11,481.94 = 4,871.44/x
  3. Step 3: Cross multiply
    8,321.50x = 11,481.94 × 4,871.44
  4. Step 4: Simplify right side
    8,321.50x = 55,933,581.79
  5. Step 5: Solve for x
    x = 55,933,581.79/8,321.50
  6. Step 6: Final answer
    x = 6,721.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.