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Finding the Fourth Proportional to 11,756.75, 17,635.22 and 2,991.65

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Solution

The fourth proportional to 11,756.75, 17,635.22 and 2,991.65 is: 4,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.75 : 17,635.22 = 2,991.65 : x
  2. Step 2: Convert to fraction form
    11,756.75/17,635.22 = 2,991.65/x
  3. Step 3: Cross multiply
    11,756.75x = 17,635.22 × 2,991.65
  4. Step 4: Simplify right side
    11,756.75x = 52,758,302.78
  5. Step 5: Solve for x
    x = 52,758,302.78/11,756.75
  6. Step 6: Final answer
    x = 4,487.49

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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.