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Finding the Fourth Proportional to 11,221.11, 16,831.02 and 3,429.90

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Solution

The fourth proportional to 11,221.11, 16,831.02 and 3,429.90 is: 5,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,221.11 : 16,831.02 = 3,429.90 : x
  2. Step 2: Convert to fraction form
    11,221.11/16,831.02 = 3,429.90/x
  3. Step 3: Cross multiply
    11,221.11x = 16,831.02 × 3,429.90
  4. Step 4: Simplify right side
    11,221.11x = 57,728,715.50
  5. Step 5: Solve for x
    x = 57,728,715.50/11,221.11
  6. Step 6: Final answer
    x = 5,144.65

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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.