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Finding the Fourth Proportional to 8,018.12, 12,028.31 and 2,471.92

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Solution

The fourth proportional to 8,018.12, 12,028.31 and 2,471.92 is: 3,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.12 : 12,028.31 = 2,471.92 : x
  2. Step 2: Convert to fraction form
    8,018.12/12,028.31 = 2,471.92/x
  3. Step 3: Cross multiply
    8,018.12x = 12,028.31 × 2,471.92
  4. Step 4: Simplify right side
    8,018.12x = 29,733,020.06
  5. Step 5: Solve for x
    x = 29,733,020.06/8,018.12
  6. Step 6: Final answer
    x = 3,708.23

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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.