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Finding the Fourth Proportional to 11,859.38, 16,365.82 and 6,554.20

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Solution

The fourth proportional to 11,859.38, 16,365.82 and 6,554.20 is: 9,044.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.38 : 16,365.82 = 6,554.20 : x
  2. Step 2: Convert to fraction form
    11,859.38/16,365.82 = 6,554.20/x
  3. Step 3: Cross multiply
    11,859.38x = 16,365.82 × 6,554.20
  4. Step 4: Simplify right side
    11,859.38x = 107,264,857.44
  5. Step 5: Solve for x
    x = 107,264,857.44/11,859.38
  6. Step 6: Final answer
    x = 9,044.73

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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.