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Finding the Fourth Proportional to 11,129.28, 16,694.28 and 5,282.88

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Solution

The fourth proportional to 11,129.28, 16,694.28 and 5,282.88 is: 7,924.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129.28 : 16,694.28 = 5,282.88 : x
  2. Step 2: Convert to fraction form
    11,129.28/16,694.28 = 5,282.88/x
  3. Step 3: Cross multiply
    11,129.28x = 16,694.28 × 5,282.88
  4. Step 4: Simplify right side
    11,129.28x = 88,193,877.93
  5. Step 5: Solve for x
    x = 88,193,877.93/11,129.28
  6. Step 6: Final answer
    x = 7,924.49

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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.