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Finding the Fourth Proportional to 10,832.76, 16,250.22 and 3,439.44

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Solution

The fourth proportional to 10,832.76, 16,250.22 and 3,439.44 is: 5,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.76 : 16,250.22 = 3,439.44 : x
  2. Step 2: Convert to fraction form
    10,832.76/16,250.22 = 3,439.44/x
  3. Step 3: Cross multiply
    10,832.76x = 16,250.22 × 3,439.44
  4. Step 4: Simplify right side
    10,832.76x = 55,891,656.68
  5. Step 5: Solve for x
    x = 55,891,656.68/10,832.76
  6. Step 6: Final answer
    x = 5,159.50

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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.