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Finding the Fourth Proportional to 8,018.74, 12,029.42 and 2,471.96

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Solution

The fourth proportional to 8,018.74, 12,029.42 and 2,471.96 is: 3,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.74 : 12,029.42 = 2,471.96 : x
  2. Step 2: Convert to fraction form
    8,018.74/12,029.42 = 2,471.96/x
  3. Step 3: Cross multiply
    8,018.74x = 12,029.42 × 2,471.96
  4. Step 4: Simplify right side
    8,018.74x = 29,736,245.06
  5. Step 5: Solve for x
    x = 29,736,245.06/8,018.74
  6. Step 6: Final answer
    x = 3,708.34

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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.