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Finding the Fourth Proportional to 11,809.13, 16,293.36 and 8,220.05

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Solution

The fourth proportional to 11,809.13, 16,293.36 and 8,220.05 is: 11,341.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.13 : 16,293.36 = 8,220.05 : x
  2. Step 2: Convert to fraction form
    11,809.13/16,293.36 = 8,220.05/x
  3. Step 3: Cross multiply
    11,809.13x = 16,293.36 × 8,220.05
  4. Step 4: Simplify right side
    11,809.13x = 133,932,289.74
  5. Step 5: Solve for x
    x = 133,932,289.74/11,809.13
  6. Step 6: Final answer
    x = 11,341.42

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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.