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Finding the Fourth Proportional to 8,017.85, 12,027.42 and 2,471.19

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Solution

The fourth proportional to 8,017.85, 12,027.42 and 2,471.19 is: 3,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,017.85 : 12,027.42 = 2,471.19 : x
  2. Step 2: Convert to fraction form
    8,017.85/12,027.42 = 2,471.19/x
  3. Step 3: Cross multiply
    8,017.85x = 12,027.42 × 2,471.19
  4. Step 4: Simplify right side
    8,017.85x = 29,722,040.03
  5. Step 5: Solve for x
    x = 29,722,040.03/8,017.85
  6. Step 6: Final answer
    x = 3,706.99

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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.