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Finding the Fourth Proportional to 10,231, 14,057.58 and 8,131.48

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Solution

The fourth proportional to 10,231, 14,057.58 and 8,131.48 is: 11,172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231 : 14,057.58 = 8,131.48 : x
  2. Step 2: Convert to fraction form
    10,231/14,057.58 = 8,131.48/x
  3. Step 3: Cross multiply
    10,231x = 14,057.58 × 8,131.48
  4. Step 4: Simplify right side
    10,231x = 114,308,930.62
  5. Step 5: Solve for x
    x = 114,308,930.62/10,231
  6. Step 6: Final answer
    x = 11,172.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.