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Finding the Fourth Proportional to 26,131, 39,203.01 and 7,663

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Solution

The fourth proportional to 26,131, 39,203.01 and 7,663 is: 11,496.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,131 : 39,203.01 = 7,663 : x
  2. Step 2: Convert to fraction form
    26,131/39,203.01 = 7,663/x
  3. Step 3: Cross multiply
    26,131x = 39,203.01 × 7,663
  4. Step 4: Simplify right side
    26,131x = 300,412,665.63
  5. Step 5: Solve for x
    x = 300,412,665.63/26,131
  6. Step 6: Final answer
    x = 11,496.41

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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.