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Finding the Fourth Proportional to 8,284.92, 12,427.30 and 2,441.44

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Solution

The fourth proportional to 8,284.92, 12,427.30 and 2,441.44 is: 3,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.92 : 12,427.30 = 2,441.44 : x
  2. Step 2: Convert to fraction form
    8,284.92/12,427.30 = 2,441.44/x
  3. Step 3: Cross multiply
    8,284.92x = 12,427.30 × 2,441.44
  4. Step 4: Simplify right side
    8,284.92x = 30,340,507.31
  5. Step 5: Solve for x
    x = 30,340,507.31/8,284.92
  6. Step 6: Final answer
    x = 3,662.14

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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.