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Finding the Fourth Proportional to 11,283.43, 16,936.08 and 5,444.14

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Solution

The fourth proportional to 11,283.43, 16,936.08 and 5,444.14 is: 8,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.43 : 16,936.08 = 5,444.14 : x
  2. Step 2: Convert to fraction form
    11,283.43/16,936.08 = 5,444.14/x
  3. Step 3: Cross multiply
    11,283.43x = 16,936.08 × 5,444.14
  4. Step 4: Simplify right side
    11,283.43x = 92,202,390.57
  5. Step 5: Solve for x
    x = 92,202,390.57/11,283.43
  6. Step 6: Final answer
    x = 8,171.49

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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.