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Finding the Fourth Proportional to 11,755.94, 16,223.19 and 6,450.74

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Solution

The fourth proportional to 11,755.94, 16,223.19 and 6,450.74 is: 8,902.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.94 : 16,223.19 = 6,450.74 : x
  2. Step 2: Convert to fraction form
    11,755.94/16,223.19 = 6,450.74/x
  3. Step 3: Cross multiply
    11,755.94x = 16,223.19 × 6,450.74
  4. Step 4: Simplify right side
    11,755.94x = 104,651,536.19
  5. Step 5: Solve for x
    x = 104,651,536.19/11,755.94
  6. Step 6: Final answer
    x = 8,902.02

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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.