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Finding the Fourth Proportional to 11,892.25, 16,397.84 and 7,644.00

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Solution

The fourth proportional to 11,892.25, 16,397.84 and 7,644.00 is: 10,540.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,892.25 : 16,397.84 = 7,644.00 : x
  2. Step 2: Convert to fraction form
    11,892.25/16,397.84 = 7,644.00/x
  3. Step 3: Cross multiply
    11,892.25x = 16,397.84 × 7,644.00
  4. Step 4: Simplify right side
    11,892.25x = 125,345,169.56
  5. Step 5: Solve for x
    x = 125,345,169.56/11,892.25
  6. Step 6: Final answer
    x = 10,540.07

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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.