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Finding the Fourth Proportional to 11,822.23, 16,309.51 and 7,783.85

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Solution

The fourth proportional to 11,822.23, 16,309.51 and 7,783.85 is: 10,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.23 : 16,309.51 = 7,783.85 : x
  2. Step 2: Convert to fraction form
    11,822.23/16,309.51 = 7,783.85/x
  3. Step 3: Cross multiply
    11,822.23x = 16,309.51 × 7,783.85
  4. Step 4: Simplify right side
    11,822.23x = 126,950,800.73
  5. Step 5: Solve for x
    x = 126,950,800.73/11,822.23
  6. Step 6: Final answer
    x = 10,738.31

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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.