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Finding the Fourth Proportional to 11,884.68, 17,831.04 and 4,491.27

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Solution

The fourth proportional to 11,884.68, 17,831.04 and 4,491.27 is: 6,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.68 : 17,831.04 = 4,491.27 : x
  2. Step 2: Convert to fraction form
    11,884.68/17,831.04 = 4,491.27/x
  3. Step 3: Cross multiply
    11,884.68x = 17,831.04 × 4,491.27
  4. Step 4: Simplify right side
    11,884.68x = 80,084,015.02
  5. Step 5: Solve for x
    x = 80,084,015.02/11,884.68
  6. Step 6: Final answer
    x = 6,738.42

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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.