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Finding the Fourth Proportional to 7,361.31, 11,040.75 and 3,200.19

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Solution

The fourth proportional to 7,361.31, 11,040.75 and 3,200.19 is: 4,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,361.31 : 11,040.75 = 3,200.19 : x
  2. Step 2: Convert to fraction form
    7,361.31/11,040.75 = 3,200.19/x
  3. Step 3: Cross multiply
    7,361.31x = 11,040.75 × 3,200.19
  4. Step 4: Simplify right side
    7,361.31x = 35,332,497.74
  5. Step 5: Solve for x
    x = 35,332,497.74/7,361.31
  6. Step 6: Final answer
    x = 4,799.76

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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.