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Finding the Fourth Proportional to 8,396.14, 11,584.58 and 5,408.38

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Solution

The fourth proportional to 8,396.14, 11,584.58 and 5,408.38 is: 7,462.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.14 : 11,584.58 = 5,408.38 : x
  2. Step 2: Convert to fraction form
    8,396.14/11,584.58 = 5,408.38/x
  3. Step 3: Cross multiply
    8,396.14x = 11,584.58 × 5,408.38
  4. Step 4: Simplify right side
    8,396.14x = 62,653,810.78
  5. Step 5: Solve for x
    x = 62,653,810.78/8,396.14
  6. Step 6: Final answer
    x = 7,462.22

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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.