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Finding the Fourth Proportional to 11,772.98, 17,648.48 and 3,976.34

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Solution

The fourth proportional to 11,772.98, 17,648.48 and 3,976.34 is: 5,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.98 : 17,648.48 = 3,976.34 : x
  2. Step 2: Convert to fraction form
    11,772.98/17,648.48 = 3,976.34/x
  3. Step 3: Cross multiply
    11,772.98x = 17,648.48 × 3,976.34
  4. Step 4: Simplify right side
    11,772.98x = 70,176,278.66
  5. Step 5: Solve for x
    x = 70,176,278.66/11,772.98
  6. Step 6: Final answer
    x = 5,960.79

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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.