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Finding the Fourth Proportional to 11,862.49, 17,793.12 and 3,542.58

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Solution

The fourth proportional to 11,862.49, 17,793.12 and 3,542.58 is: 5,313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,862.49 : 17,793.12 = 3,542.58 : x
  2. Step 2: Convert to fraction form
    11,862.49/17,793.12 = 3,542.58/x
  3. Step 3: Cross multiply
    11,862.49x = 17,793.12 × 3,542.58
  4. Step 4: Simplify right side
    11,862.49x = 63,033,551.05
  5. Step 5: Solve for x
    x = 63,033,551.05/11,862.49
  6. Step 6: Final answer
    x = 5,313.69

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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.