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Finding the Fourth Proportional to 11,988.41, 17,984.43 and 3,224.00

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Solution

The fourth proportional to 11,988.41, 17,984.43 and 3,224.00 is: 4,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,988.41 : 17,984.43 = 3,224.00 : x
  2. Step 2: Convert to fraction form
    11,988.41/17,984.43 = 3,224.00/x
  3. Step 3: Cross multiply
    11,988.41x = 17,984.43 × 3,224.00
  4. Step 4: Simplify right side
    11,988.41x = 57,981,847.28
  5. Step 5: Solve for x
    x = 57,981,847.28/11,988.41
  6. Step 6: Final answer
    x = 4,836.49

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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.