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Finding the Fourth Proportional to 11,757.21, 16,224.84 and 6,451.89

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Solution

The fourth proportional to 11,757.21, 16,224.84 and 6,451.89 is: 8,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.21 : 16,224.84 = 6,451.89 : x
  2. Step 2: Convert to fraction form
    11,757.21/16,224.84 = 6,451.89/x
  3. Step 3: Cross multiply
    11,757.21x = 16,224.84 × 6,451.89
  4. Step 4: Simplify right side
    11,757.21x = 104,680,882.95
  5. Step 5: Solve for x
    x = 104,680,882.95/11,757.21
  6. Step 6: Final answer
    x = 8,903.55

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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.