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Finding the Fourth Proportional to 8,474.17, 12,704.24 and 4,029.44

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Solution

The fourth proportional to 8,474.17, 12,704.24 and 4,029.44 is: 6,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474.17 : 12,704.24 = 4,029.44 : x
  2. Step 2: Convert to fraction form
    8,474.17/12,704.24 = 4,029.44/x
  3. Step 3: Cross multiply
    8,474.17x = 12,704.24 × 4,029.44
  4. Step 4: Simplify right side
    8,474.17x = 51,190,909.30
  5. Step 5: Solve for x
    x = 51,190,909.30/8,474.17
  6. Step 6: Final answer
    x = 6,040.82

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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.