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Finding the Fourth Proportional to 11,934.64, 17,910.62 and 5,361.80

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Solution

The fourth proportional to 11,934.64, 17,910.62 and 5,361.80 is: 8,046.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,934.64 : 17,910.62 = 5,361.80 : x
  2. Step 2: Convert to fraction form
    11,934.64/17,910.62 = 5,361.80/x
  3. Step 3: Cross multiply
    11,934.64x = 17,910.62 × 5,361.80
  4. Step 4: Simplify right side
    11,934.64x = 96,033,066.06
  5. Step 5: Solve for x
    x = 96,033,066.06/11,934.64
  6. Step 6: Final answer
    x = 8,046.58

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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.