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Finding the Fourth Proportional to 11,209.78, 15,497.49 and 8,410.42

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Solution

The fourth proportional to 11,209.78, 15,497.49 and 8,410.42 is: 11,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.78 : 15,497.49 = 8,410.42 : x
  2. Step 2: Convert to fraction form
    11,209.78/15,497.49 = 8,410.42/x
  3. Step 3: Cross multiply
    11,209.78x = 15,497.49 × 8,410.42
  4. Step 4: Simplify right side
    11,209.78x = 130,340,399.85
  5. Step 5: Solve for x
    x = 130,340,399.85/11,209.78
  6. Step 6: Final answer
    x = 11,627.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.