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Finding the Fourth Proportional to 11,757.87, 16,226.16 and 6,452.64

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Solution

The fourth proportional to 11,757.87, 16,226.16 and 6,452.64 is: 8,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.87 : 16,226.16 = 6,452.64 : x
  2. Step 2: Convert to fraction form
    11,757.87/16,226.16 = 6,452.64/x
  3. Step 3: Cross multiply
    11,757.87x = 16,226.16 × 6,452.64
  4. Step 4: Simplify right side
    11,757.87x = 104,701,569.06
  5. Step 5: Solve for x
    x = 104,701,569.06/11,757.87
  6. Step 6: Final answer
    x = 8,904.81

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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.