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Finding the Fourth Proportional to 11,563.00, 17,351.11 and 6,297.80

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Solution

The fourth proportional to 11,563.00, 17,351.11 and 6,297.80 is: 9,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.00 : 17,351.11 = 6,297.80 : x
  2. Step 2: Convert to fraction form
    11,563.00/17,351.11 = 6,297.80/x
  3. Step 3: Cross multiply
    11,563.00x = 17,351.11 × 6,297.80
  4. Step 4: Simplify right side
    11,563.00x = 109,273,839.27
  5. Step 5: Solve for x
    x = 109,273,839.27/11,563.00
  6. Step 6: Final answer
    x = 9,450.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.