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Finding the Fourth Proportional to 8,218.56, 12,331.22 and 2,954.24

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Solution

The fourth proportional to 8,218.56, 12,331.22 and 2,954.24 is: 4,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.56 : 12,331.22 = 2,954.24 : x
  2. Step 2: Convert to fraction form
    8,218.56/12,331.22 = 2,954.24/x
  3. Step 3: Cross multiply
    8,218.56x = 12,331.22 × 2,954.24
  4. Step 4: Simplify right side
    8,218.56x = 36,429,383.37
  5. Step 5: Solve for x
    x = 36,429,383.37/8,218.56
  6. Step 6: Final answer
    x = 4,432.57

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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.