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Finding the Fourth Proportional to 10,743.44, 16,127.04 and 6,369.44

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Solution

The fourth proportional to 10,743.44, 16,127.04 and 6,369.44 is: 9,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,743.44 : 16,127.04 = 6,369.44 : x
  2. Step 2: Convert to fraction form
    10,743.44/16,127.04 = 6,369.44/x
  3. Step 3: Cross multiply
    10,743.44x = 16,127.04 × 6,369.44
  4. Step 4: Simplify right side
    10,743.44x = 102,720,213.66
  5. Step 5: Solve for x
    x = 102,720,213.66/10,743.44
  6. Step 6: Final answer
    x = 9,561.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.