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Finding the Fourth Proportional to 8,183.30, 12,274.98 and 5,427.48

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Solution

The fourth proportional to 8,183.30, 12,274.98 and 5,427.48 is: 8,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.30 : 12,274.98 = 5,427.48 : x
  2. Step 2: Convert to fraction form
    8,183.30/12,274.98 = 5,427.48/x
  3. Step 3: Cross multiply
    8,183.30x = 12,274.98 × 5,427.48
  4. Step 4: Simplify right side
    8,183.30x = 66,622,208.45
  5. Step 5: Solve for x
    x = 66,622,208.45/8,183.30
  6. Step 6: Final answer
    x = 8,141.24

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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.