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Finding the Fourth Proportional to 26,927.70, 40,388.70 and 7,208.25

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Solution

The fourth proportional to 26,927.70, 40,388.70 and 7,208.25 is: 10,811.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,927.70 : 40,388.70 = 7,208.25 : x
  2. Step 2: Convert to fraction form
    26,927.70/40,388.70 = 7,208.25/x
  3. Step 3: Cross multiply
    26,927.70x = 40,388.70 × 7,208.25
  4. Step 4: Simplify right side
    26,927.70x = 291,131,846.78
  5. Step 5: Solve for x
    x = 291,131,846.78/26,927.70
  6. Step 6: Final answer
    x = 10,811.61

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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.