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Finding the Fourth Proportional to 11,757.89, 16,226.15 and 6,452.69

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Solution

The fourth proportional to 11,757.89, 16,226.15 and 6,452.69 is: 8,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.89 : 16,226.15 = 6,452.69 : x
  2. Step 2: Convert to fraction form
    11,757.89/16,226.15 = 6,452.69/x
  3. Step 3: Cross multiply
    11,757.89x = 16,226.15 × 6,452.69
  4. Step 4: Simplify right side
    11,757.89x = 104,702,202.45
  5. Step 5: Solve for x
    x = 104,702,202.45/11,757.89
  6. Step 6: Final answer
    x = 8,904.85

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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.