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Finding the Fourth Proportional to 11,963.28, 17,944.86 and 5,037.78

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Solution

The fourth proportional to 11,963.28, 17,944.86 and 5,037.78 is: 7,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.28 : 17,944.86 = 5,037.78 : x
  2. Step 2: Convert to fraction form
    11,963.28/17,944.86 = 5,037.78/x
  3. Step 3: Cross multiply
    11,963.28x = 17,944.86 × 5,037.78
  4. Step 4: Simplify right side
    11,963.28x = 90,402,256.81
  5. Step 5: Solve for x
    x = 90,402,256.81/11,963.28
  6. Step 6: Final answer
    x = 7,556.64

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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.