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Finding the Fourth Proportional to 8,471.56, 12,704.18 and 3,541.54

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Solution

The fourth proportional to 8,471.56, 12,704.18 and 3,541.54 is: 5,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.56 : 12,704.18 = 3,541.54 : x
  2. Step 2: Convert to fraction form
    8,471.56/12,704.18 = 3,541.54/x
  3. Step 3: Cross multiply
    8,471.56x = 12,704.18 × 3,541.54
  4. Step 4: Simplify right side
    8,471.56x = 44,992,361.64
  5. Step 5: Solve for x
    x = 44,992,361.64/8,471.56
  6. Step 6: Final answer
    x = 5,310.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.