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Finding the Fourth Proportional to 11,755.50, 16,222.74 and 6,450.20

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Solution

The fourth proportional to 11,755.50, 16,222.74 and 6,450.20 is: 8,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.50 : 16,222.74 = 6,450.20 : x
  2. Step 2: Convert to fraction form
    11,755.50/16,222.74 = 6,450.20/x
  3. Step 3: Cross multiply
    11,755.50x = 16,222.74 × 6,450.20
  4. Step 4: Simplify right side
    11,755.50x = 104,639,917.55
  5. Step 5: Solve for x
    x = 104,639,917.55/11,755.50
  6. Step 6: Final answer
    x = 8,901.36

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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.