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Finding the Fourth Proportional to 11,732.43, 16,190.46 and 6,427.20

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Solution

The fourth proportional to 11,732.43, 16,190.46 and 6,427.20 is: 8,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.43 : 16,190.46 = 6,427.20 : x
  2. Step 2: Convert to fraction form
    11,732.43/16,190.46 = 6,427.20/x
  3. Step 3: Cross multiply
    11,732.43x = 16,190.46 × 6,427.20
  4. Step 4: Simplify right side
    11,732.43x = 104,059,324.51
  5. Step 5: Solve for x
    x = 104,059,324.51/11,732.43
  6. Step 6: Final answer
    x = 8,869.38

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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.