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Finding the Fourth Proportional to 11,687.36, 17,533.68 and 3,896.48

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Solution

The fourth proportional to 11,687.36, 17,533.68 and 3,896.48 is: 5,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.36 : 17,533.68 = 3,896.48 : x
  2. Step 2: Convert to fraction form
    11,687.36/17,533.68 = 3,896.48/x
  3. Step 3: Cross multiply
    11,687.36x = 17,533.68 × 3,896.48
  4. Step 4: Simplify right side
    11,687.36x = 68,319,633.45
  5. Step 5: Solve for x
    x = 68,319,633.45/11,687.36
  6. Step 6: Final answer
    x = 5,845.60

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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.