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Finding the Fourth Proportional to 11,644.23, 16,040.81 and 8,654.88

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Solution

The fourth proportional to 11,644.23, 16,040.81 and 8,654.88 is: 11,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.23 : 16,040.81 = 8,654.88 : x
  2. Step 2: Convert to fraction form
    11,644.23/16,040.81 = 8,654.88/x
  3. Step 3: Cross multiply
    11,644.23x = 16,040.81 × 8,654.88
  4. Step 4: Simplify right side
    11,644.23x = 138,831,242.38
  5. Step 5: Solve for x
    x = 138,831,242.38/11,644.23
  6. Step 6: Final answer
    x = 11,922.75

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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.