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Finding the Fourth Proportional to 8,767.82, 12,099.30 and 5,229.20

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Solution

The fourth proportional to 8,767.82, 12,099.30 and 5,229.20 is: 7,216.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.82 : 12,099.30 = 5,229.20 : x
  2. Step 2: Convert to fraction form
    8,767.82/12,099.30 = 5,229.20/x
  3. Step 3: Cross multiply
    8,767.82x = 12,099.30 × 5,229.20
  4. Step 4: Simplify right side
    8,767.82x = 63,269,659.56
  5. Step 5: Solve for x
    x = 63,269,659.56/8,767.82
  6. Step 6: Final answer
    x = 7,216.12

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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.