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Finding the Fourth Proportional to 6,726.44, 10,086.44 and 2,343.32

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Solution

The fourth proportional to 6,726.44, 10,086.44 and 2,343.32 is: 3,513.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.44 : 10,086.44 = 2,343.32 : x
  2. Step 2: Convert to fraction form
    6,726.44/10,086.44 = 2,343.32/x
  3. Step 3: Cross multiply
    6,726.44x = 10,086.44 × 2,343.32
  4. Step 4: Simplify right side
    6,726.44x = 23,635,756.58
  5. Step 5: Solve for x
    x = 23,635,756.58/6,726.44
  6. Step 6: Final answer
    x = 3,513.86

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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.