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Finding the Fourth Proportional to 11,692.25, 16,136.42 and 6,387.86

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Solution

The fourth proportional to 11,692.25, 16,136.42 and 6,387.86 is: 8,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.25 : 16,136.42 = 6,387.86 : x
  2. Step 2: Convert to fraction form
    11,692.25/16,136.42 = 6,387.86/x
  3. Step 3: Cross multiply
    11,692.25x = 16,136.42 × 6,387.86
  4. Step 4: Simplify right side
    11,692.25x = 103,077,200.26
  5. Step 5: Solve for x
    x = 103,077,200.26/11,692.25
  6. Step 6: Final answer
    x = 8,815.86

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