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Finding the Fourth Proportional to 12,136.12, 16,743.78 and 7,892.43

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Solution

The fourth proportional to 12,136.12, 16,743.78 and 7,892.43 is: 10,888.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.12 : 16,743.78 = 7,892.43 : x
  2. Step 2: Convert to fraction form
    12,136.12/16,743.78 = 7,892.43/x
  3. Step 3: Cross multiply
    12,136.12x = 16,743.78 × 7,892.43
  4. Step 4: Simplify right side
    12,136.12x = 132,149,111.59
  5. Step 5: Solve for x
    x = 132,149,111.59/12,136.12
  6. Step 6: Final answer
    x = 10,888.91

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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.