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Finding the Fourth Proportional to 8,274.96, 12,412.26 and 2,431.44

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Solution

The fourth proportional to 8,274.96, 12,412.26 and 2,431.44 is: 3,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.96 : 12,412.26 = 2,431.44 : x
  2. Step 2: Convert to fraction form
    8,274.96/12,412.26 = 2,431.44/x
  3. Step 3: Cross multiply
    8,274.96x = 12,412.26 × 2,431.44
  4. Step 4: Simplify right side
    8,274.96x = 30,179,665.45
  5. Step 5: Solve for x
    x = 30,179,665.45/8,274.96
  6. Step 6: Final answer
    x = 3,647.11

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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.