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Finding the Fourth Proportional to 11,146.87, 16,722.86 and 3,751.13

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Solution

The fourth proportional to 11,146.87, 16,722.86 and 3,751.13 is: 5,627.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.87 : 16,722.86 = 3,751.13 : x
  2. Step 2: Convert to fraction form
    11,146.87/16,722.86 = 3,751.13/x
  3. Step 3: Cross multiply
    11,146.87x = 16,722.86 × 3,751.13
  4. Step 4: Simplify right side
    11,146.87x = 62,729,629.50
  5. Step 5: Solve for x
    x = 62,729,629.50/11,146.87
  6. Step 6: Final answer
    x = 5,627.56

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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.