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Finding the Fourth Proportional to 8,472.41, 12,711.26 and 3,796.42

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Solution

The fourth proportional to 8,472.41, 12,711.26 and 3,796.42 is: 5,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.41 : 12,711.26 = 3,796.42 : x
  2. Step 2: Convert to fraction form
    8,472.41/12,711.26 = 3,796.42/x
  3. Step 3: Cross multiply
    8,472.41x = 12,711.26 × 3,796.42
  4. Step 4: Simplify right side
    8,472.41x = 48,257,199.15
  5. Step 5: Solve for x
    x = 48,257,199.15/8,472.41
  6. Step 6: Final answer
    x = 5,695.81

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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.