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Finding the Fourth Proportional to 11,692.82, 16,136.42 and 6,387.93

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Solution

The fourth proportional to 11,692.82, 16,136.42 and 6,387.93 is: 8,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.82 : 16,136.42 = 6,387.93 : x
  2. Step 2: Convert to fraction form
    11,692.82/16,136.42 = 6,387.93/x
  3. Step 3: Cross multiply
    11,692.82x = 16,136.42 × 6,387.93
  4. Step 4: Simplify right side
    11,692.82x = 103,078,289.47
  5. Step 5: Solve for x
    x = 103,078,289.47/11,692.82
  6. Step 6: Final answer
    x = 8,815.52

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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.