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Finding the Fourth Proportional to 11,920.45, 16,456.34 and 8,399.38

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Solution

The fourth proportional to 11,920.45, 16,456.34 and 8,399.38 is: 11,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.45 : 16,456.34 = 8,399.38 : x
  2. Step 2: Convert to fraction form
    11,920.45/16,456.34 = 8,399.38/x
  3. Step 3: Cross multiply
    11,920.45x = 16,456.34 × 8,399.38
  4. Step 4: Simplify right side
    11,920.45x = 138,223,053.07
  5. Step 5: Solve for x
    x = 138,223,053.07/11,920.45
  6. Step 6: Final answer
    x = 11,595.46

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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.