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Finding the Fourth Proportional to 8,396.38, 11,586.85 and 4,619.45

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Solution

The fourth proportional to 8,396.38, 11,586.85 and 4,619.45 is: 6,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.38 : 11,586.85 = 4,619.45 : x
  2. Step 2: Convert to fraction form
    8,396.38/11,586.85 = 4,619.45/x
  3. Step 3: Cross multiply
    8,396.38x = 11,586.85 × 4,619.45
  4. Step 4: Simplify right side
    8,396.38x = 53,524,891.65
  5. Step 5: Solve for x
    x = 53,524,891.65/8,396.38
  6. Step 6: Final answer
    x = 6,374.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.