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Finding the Fourth Proportional to 8,474.10, 12,706.01 and 3,793.23

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Solution

The fourth proportional to 8,474.10, 12,706.01 and 3,793.23 is: 5,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.10 : 12,706.01 = 3,793.23 : x
  2. Step 2: Convert to fraction form
    8,474.10/12,706.01 = 3,793.23/x
  3. Step 3: Cross multiply
    8,474.10x = 12,706.01 × 3,793.23
  4. Step 4: Simplify right side
    8,474.10x = 48,196,818.31
  5. Step 5: Solve for x
    x = 48,196,818.31/8,474.10
  6. Step 6: Final answer
    x = 5,687.54

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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.