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Finding the Fourth Proportional to 11,226.31, 16,790.25 and 7,839.19

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Solution

The fourth proportional to 11,226.31, 16,790.25 and 7,839.19 is: 11,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.31 : 16,790.25 = 7,839.19 : x
  2. Step 2: Convert to fraction form
    11,226.31/16,790.25 = 7,839.19/x
  3. Step 3: Cross multiply
    11,226.31x = 16,790.25 × 7,839.19
  4. Step 4: Simplify right side
    11,226.31x = 131,621,959.90
  5. Step 5: Solve for x
    x = 131,621,959.90/11,226.31
  6. Step 6: Final answer
    x = 11,724.42

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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.