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Finding the Fourth Proportional to 7,832.69, 11,749.04 and 3,936.17

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Solution

The fourth proportional to 7,832.69, 11,749.04 and 3,936.17 is: 5,904.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.69 : 11,749.04 = 3,936.17 : x
  2. Step 2: Convert to fraction form
    7,832.69/11,749.04 = 3,936.17/x
  3. Step 3: Cross multiply
    7,832.69x = 11,749.04 × 3,936.17
  4. Step 4: Simplify right side
    7,832.69x = 46,246,199.10
  5. Step 5: Solve for x
    x = 46,246,199.10/7,832.69
  6. Step 6: Final answer
    x = 5,904.26

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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.