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Finding the Fourth Proportional to 11,546.52, 17,319.87 and 6,349.56

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Solution

The fourth proportional to 11,546.52, 17,319.87 and 6,349.56 is: 9,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.52 : 17,319.87 = 6,349.56 : x
  2. Step 2: Convert to fraction form
    11,546.52/17,319.87 = 6,349.56/x
  3. Step 3: Cross multiply
    11,546.52x = 17,319.87 × 6,349.56
  4. Step 4: Simplify right side
    11,546.52x = 109,973,553.76
  5. Step 5: Solve for x
    x = 109,973,553.76/11,546.52
  6. Step 6: Final answer
    x = 9,524.39

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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.