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Finding the Fourth Proportional to 11,825.80, 16,321.64 and 6,791.24

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Solution

The fourth proportional to 11,825.80, 16,321.64 and 6,791.24 is: 9,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.80 : 16,321.64 = 6,791.24 : x
  2. Step 2: Convert to fraction form
    11,825.80/16,321.64 = 6,791.24/x
  3. Step 3: Cross multiply
    11,825.80x = 16,321.64 × 6,791.24
  4. Step 4: Simplify right side
    11,825.80x = 110,844,181.28
  5. Step 5: Solve for x
    x = 110,844,181.28/11,825.80
  6. Step 6: Final answer
    x = 9,373.08

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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.