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Finding the Fourth Proportional to 11,677.82, 16,115.41 and 6,372.74

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Solution

The fourth proportional to 11,677.82, 16,115.41 and 6,372.74 is: 8,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.82 : 16,115.41 = 6,372.74 : x
  2. Step 2: Convert to fraction form
    11,677.82/16,115.41 = 6,372.74/x
  3. Step 3: Cross multiply
    11,677.82x = 16,115.41 × 6,372.74
  4. Step 4: Simplify right side
    11,677.82x = 102,699,317.92
  5. Step 5: Solve for x
    x = 102,699,317.92/11,677.82
  6. Step 6: Final answer
    x = 8,794.39

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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.