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Finding the Fourth Proportional to 11,692.54, 16,135.44 and 6,387.38

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Solution

The fourth proportional to 11,692.54, 16,135.44 and 6,387.38 is: 8,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.54 : 16,135.44 = 6,387.38 : x
  2. Step 2: Convert to fraction form
    11,692.54/16,135.44 = 6,387.38/x
  3. Step 3: Cross multiply
    11,692.54x = 16,135.44 × 6,387.38
  4. Step 4: Simplify right side
    11,692.54x = 103,063,186.75
  5. Step 5: Solve for x
    x = 103,063,186.75/11,692.54
  6. Step 6: Final answer
    x = 8,814.44

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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.