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Finding the Fourth Proportional to 7,863.99, 11,796.84 and 2,317.38

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Solution

The fourth proportional to 7,863.99, 11,796.84 and 2,317.38 is: 3,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.99 : 11,796.84 = 2,317.38 : x
  2. Step 2: Convert to fraction form
    7,863.99/11,796.84 = 2,317.38/x
  3. Step 3: Cross multiply
    7,863.99x = 11,796.84 × 2,317.38
  4. Step 4: Simplify right side
    7,863.99x = 27,337,761.08
  5. Step 5: Solve for x
    x = 27,337,761.08/7,863.99
  6. Step 6: Final answer
    x = 3,476.32

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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.