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Finding the Fourth Proportional to 11,751.14, 17,629.32 and 3,959.76

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Solution

The fourth proportional to 11,751.14, 17,629.32 and 3,959.76 is: 5,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.14 : 17,629.32 = 3,959.76 : x
  2. Step 2: Convert to fraction form
    11,751.14/17,629.32 = 3,959.76/x
  3. Step 3: Cross multiply
    11,751.14x = 17,629.32 × 3,959.76
  4. Step 4: Simplify right side
    11,751.14x = 69,807,876.16
  5. Step 5: Solve for x
    x = 69,807,876.16/11,751.14
  6. Step 6: Final answer
    x = 5,940.52

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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.