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Finding the Fourth Proportional to 11,755.57, 16,223.70 and 6,451.42

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Solution

The fourth proportional to 11,755.57, 16,223.70 and 6,451.42 is: 8,903.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.57 : 16,223.70 = 6,451.42 : x
  2. Step 2: Convert to fraction form
    11,755.57/16,223.70 = 6,451.42/x
  3. Step 3: Cross multiply
    11,755.57x = 16,223.70 × 6,451.42
  4. Step 4: Simplify right side
    11,755.57x = 104,665,902.65
  5. Step 5: Solve for x
    x = 104,665,902.65/11,755.57
  6. Step 6: Final answer
    x = 8,903.52

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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.