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Finding the Fourth Proportional to 11,822.45, 16,324.49 and 8,053.52

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Solution

The fourth proportional to 11,822.45, 16,324.49 and 8,053.52 is: 11,120.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.45 : 16,324.49 = 8,053.52 : x
  2. Step 2: Convert to fraction form
    11,822.45/16,324.49 = 8,053.52/x
  3. Step 3: Cross multiply
    11,822.45x = 16,324.49 × 8,053.52
  4. Step 4: Simplify right side
    11,822.45x = 131,469,606.70
  5. Step 5: Solve for x
    x = 131,469,606.70/11,822.45
  6. Step 6: Final answer
    x = 11,120.34

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1.5x scale

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.