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Finding the Fourth Proportional to 11,755.56, 16,222.56 and 6,450.39

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Solution

The fourth proportional to 11,755.56, 16,222.56 and 6,450.39 is: 8,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.56 : 16,222.56 = 6,450.39 : x
  2. Step 2: Convert to fraction form
    11,755.56/16,222.56 = 6,450.39/x
  3. Step 3: Cross multiply
    11,755.56x = 16,222.56 × 6,450.39
  4. Step 4: Simplify right side
    11,755.56x = 104,641,838.80
  5. Step 5: Solve for x
    x = 104,641,838.80/11,755.56
  6. Step 6: Final answer
    x = 8,901.48

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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.