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Finding the Fourth Proportional to 7,732.36, 11,599.17 and 2,185.75

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Solution

The fourth proportional to 7,732.36, 11,599.17 and 2,185.75 is: 3,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.36 : 11,599.17 = 2,185.75 : x
  2. Step 2: Convert to fraction form
    7,732.36/11,599.17 = 2,185.75/x
  3. Step 3: Cross multiply
    7,732.36x = 11,599.17 × 2,185.75
  4. Step 4: Simplify right side
    7,732.36x = 25,352,914.83
  5. Step 5: Solve for x
    x = 25,352,914.83/7,732.36
  6. Step 6: Final answer
    x = 3,278.81

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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.