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Finding the Fourth Proportional to 8,396.52, 12,596.31 and 3,463.42

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Solution

The fourth proportional to 8,396.52, 12,596.31 and 3,463.42 is: 5,195.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.52 : 12,596.31 = 3,463.42 : x
  2. Step 2: Convert to fraction form
    8,396.52/12,596.31 = 3,463.42/x
  3. Step 3: Cross multiply
    8,396.52x = 12,596.31 × 3,463.42
  4. Step 4: Simplify right side
    8,396.52x = 43,626,311.98
  5. Step 5: Solve for x
    x = 43,626,311.98/8,396.52
  6. Step 6: Final answer
    x = 5,195.76

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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.