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Finding the Fourth Proportional to 11,757.93, 16,226.34 and 6,453.04

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Solution

The fourth proportional to 11,757.93, 16,226.34 and 6,453.04 is: 8,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,757.93 : 16,226.34 = 6,453.04 : x
  2. Step 2: Convert to fraction form
    11,757.93/16,226.34 = 6,453.04/x
  3. Step 3: Cross multiply
    11,757.93x = 16,226.34 × 6,453.04
  4. Step 4: Simplify right side
    11,757.93x = 104,709,107.68
  5. Step 5: Solve for x
    x = 104,709,107.68/11,757.93
  6. Step 6: Final answer
    x = 8,905.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.