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Finding the Fourth Proportional to 26,524.29, 39,786.03 and 6,802.68

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Solution

The fourth proportional to 26,524.29, 39,786.03 and 6,802.68 is: 10,203.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,524.29 : 39,786.03 = 6,802.68 : x
  2. Step 2: Convert to fraction form
    26,524.29/39,786.03 = 6,802.68/x
  3. Step 3: Cross multiply
    26,524.29x = 39,786.03 × 6,802.68
  4. Step 4: Simplify right side
    26,524.29x = 270,651,630.56
  5. Step 5: Solve for x
    x = 270,651,630.56/26,524.29
  6. Step 6: Final answer
    x = 10,203.92

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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.