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Finding the Fourth Proportional to 11,872.52, 17,813.02 and 5,298.12

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Solution

The fourth proportional to 11,872.52, 17,813.02 and 5,298.12 is: 7,949.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.52 : 17,813.02 = 5,298.12 : x
  2. Step 2: Convert to fraction form
    11,872.52/17,813.02 = 5,298.12/x
  3. Step 3: Cross multiply
    11,872.52x = 17,813.02 × 5,298.12
  4. Step 4: Simplify right side
    11,872.52x = 94,375,517.52
  5. Step 5: Solve for x
    x = 94,375,517.52/11,872.52
  6. Step 6: Final answer
    x = 7,949.07

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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.