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Finding the Fourth Proportional to 8,019.29, 12,025.28 and 2,471.60

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Solution

The fourth proportional to 8,019.29, 12,025.28 and 2,471.60 is: 3,706.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019.29 : 12,025.28 = 2,471.60 : x
  2. Step 2: Convert to fraction form
    8,019.29/12,025.28 = 2,471.60/x
  3. Step 3: Cross multiply
    8,019.29x = 12,025.28 × 2,471.60
  4. Step 4: Simplify right side
    8,019.29x = 29,721,609.56
  5. Step 5: Solve for x
    x = 29,721,609.56/8,019.29
  6. Step 6: Final answer
    x = 3,706.27

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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.