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Finding the Fourth Proportional to 7,983.36, 11,007 and 6,212.16

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Solution

The fourth proportional to 7,983.36, 11,007 and 6,212.16 is: 8,564.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.36 : 11,007 = 6,212.16 : x
  2. Step 2: Convert to fraction form
    7,983.36/11,007 = 6,212.16/x
  3. Step 3: Cross multiply
    7,983.36x = 11,007 × 6,212.16
  4. Step 4: Simplify right side
    7,983.36x = 68,377,245.12
  5. Step 5: Solve for x
    x = 68,377,245.12/7,983.36
  6. Step 6: Final answer
    x = 8,564.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.