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Finding the Fourth Proportional to 11,755.83, 16,222.39 and 6,450.22

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Solution

The fourth proportional to 11,755.83, 16,222.39 and 6,450.22 is: 8,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.83 : 16,222.39 = 6,450.22 : x
  2. Step 2: Convert to fraction form
    11,755.83/16,222.39 = 6,450.22/x
  3. Step 3: Cross multiply
    11,755.83x = 16,222.39 × 6,450.22
  4. Step 4: Simplify right side
    11,755.83x = 104,637,968.30
  5. Step 5: Solve for x
    x = 104,637,968.30/11,755.83
  6. Step 6: Final answer
    x = 8,900.95

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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.