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Finding the Fourth Proportional to 11,965.74, 17,947.89 and 4,467.84

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Solution

The fourth proportional to 11,965.74, 17,947.89 and 4,467.84 is: 6,701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.74 : 17,947.89 = 4,467.84 : x
  2. Step 2: Convert to fraction form
    11,965.74/17,947.89 = 4,467.84/x
  3. Step 3: Cross multiply
    11,965.74x = 17,947.89 × 4,467.84
  4. Step 4: Simplify right side
    11,965.74x = 80,188,300.86
  5. Step 5: Solve for x
    x = 80,188,300.86/11,965.74
  6. Step 6: Final answer
    x = 6,701.49

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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.