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Finding the Fourth Proportional to 11,129.82, 16,695.81 and 3,734.34

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Solution

The fourth proportional to 11,129.82, 16,695.81 and 3,734.34 is: 5,601.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.82 : 16,695.81 = 3,734.34 : x
  2. Step 2: Convert to fraction form
    11,129.82/16,695.81 = 3,734.34/x
  3. Step 3: Cross multiply
    11,129.82x = 16,695.81 × 3,734.34
  4. Step 4: Simplify right side
    11,129.82x = 62,347,831.12
  5. Step 5: Solve for x
    x = 62,347,831.12/11,129.82
  6. Step 6: Final answer
    x = 5,601.87

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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.