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Finding the Fourth Proportional to 10,726.92, 16,093.11 and 3,332.43

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Solution

The fourth proportional to 10,726.92, 16,093.11 and 3,332.43 is: 4,999.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.92 : 16,093.11 = 3,332.43 : x
  2. Step 2: Convert to fraction form
    10,726.92/16,093.11 = 3,332.43/x
  3. Step 3: Cross multiply
    10,726.92x = 16,093.11 × 3,332.43
  4. Step 4: Simplify right side
    10,726.92x = 53,629,162.56
  5. Step 5: Solve for x
    x = 53,629,162.56/10,726.92
  6. Step 6: Final answer
    x = 4,999.49

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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.