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Finding the Fourth Proportional to 11,936.96, 17,879.52 and 5,768

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Solution

The fourth proportional to 11,936.96, 17,879.52 and 5,768 is: 8,639.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.96 : 17,879.52 = 5,768 : x
  2. Step 2: Convert to fraction form
    11,936.96/17,879.52 = 5,768/x
  3. Step 3: Cross multiply
    11,936.96x = 17,879.52 × 5,768
  4. Step 4: Simplify right side
    11,936.96x = 103,129,071.36
  5. Step 5: Solve for x
    x = 103,129,071.36/11,936.96
  6. Step 6: Final answer
    x = 8,639.48

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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.