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Finding the Fourth Proportional to 11,644.34, 17,469.75 and 6,453.86

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Solution

The fourth proportional to 11,644.34, 17,469.75 and 6,453.86 is: 9,682.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.34 : 17,469.75 = 6,453.86 : x
  2. Step 2: Convert to fraction form
    11,644.34/17,469.75 = 6,453.86/x
  3. Step 3: Cross multiply
    11,644.34x = 17,469.75 × 6,453.86
  4. Step 4: Simplify right side
    11,644.34x = 112,747,320.74
  5. Step 5: Solve for x
    x = 112,747,320.74/11,644.34
  6. Step 6: Final answer
    x = 9,682.59

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