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Finding the Fourth Proportional to 11,664.24, 17,505 and 6,474.48

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Solution

The fourth proportional to 11,664.24, 17,505 and 6,474.48 is: 9,716.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664.24 : 17,505 = 6,474.48 : x
  2. Step 2: Convert to fraction form
    11,664.24/17,505 = 6,474.48/x
  3. Step 3: Cross multiply
    11,664.24x = 17,505 × 6,474.48
  4. Step 4: Simplify right side
    11,664.24x = 113,335,772.40
  5. Step 5: Solve for x
    x = 113,335,772.40/11,664.24
  6. Step 6: Final answer
    x = 9,716.52

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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.