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Finding the Fourth Proportional to 11,755.53, 16,222.68 and 6,450.44

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Solution

The fourth proportional to 11,755.53, 16,222.68 and 6,450.44 is: 8,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.53 : 16,222.68 = 6,450.44 : x
  2. Step 2: Convert to fraction form
    11,755.53/16,222.68 = 6,450.44/x
  3. Step 3: Cross multiply
    11,755.53x = 16,222.68 × 6,450.44
  4. Step 4: Simplify right side
    11,755.53x = 104,643,342.87
  5. Step 5: Solve for x
    x = 104,643,342.87/11,755.53
  6. Step 6: Final answer
    x = 8,901.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.