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Finding the Fourth Proportional to 11,951.75, 17,935.80 and 4,160.57

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Solution

The fourth proportional to 11,951.75, 17,935.80 and 4,160.57 is: 6,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.75 : 17,935.80 = 4,160.57 : x
  2. Step 2: Convert to fraction form
    11,951.75/17,935.80 = 4,160.57/x
  3. Step 3: Cross multiply
    11,951.75x = 17,935.80 × 4,160.57
  4. Step 4: Simplify right side
    11,951.75x = 74,623,046.12
  5. Step 5: Solve for x
    x = 74,623,046.12/11,951.75
  6. Step 6: Final answer
    x = 6,243.69

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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.