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Finding the Fourth Proportional to 26,540.48, 39,816.48 and 8,072

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Solution

The fourth proportional to 26,540.48, 39,816.48 and 8,072 is: 12,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.48 : 39,816.48 = 8,072 : x
  2. Step 2: Convert to fraction form
    26,540.48/39,816.48 = 8,072/x
  3. Step 3: Cross multiply
    26,540.48x = 39,816.48 × 8,072
  4. Step 4: Simplify right side
    26,540.48x = 321,398,626.56
  5. Step 5: Solve for x
    x = 321,398,626.56/26,540.48
  6. Step 6: Final answer
    x = 12,109.75

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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.