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Finding the Fourth Proportional to 8,232.75, 11,361.20 and 4,506.75

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Solution

The fourth proportional to 8,232.75, 11,361.20 and 4,506.75 is: 6,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.75 : 11,361.20 = 4,506.75 : x
  2. Step 2: Convert to fraction form
    8,232.75/11,361.20 = 4,506.75/x
  3. Step 3: Cross multiply
    8,232.75x = 11,361.20 × 4,506.75
  4. Step 4: Simplify right side
    8,232.75x = 51,202,065.57
  5. Step 5: Solve for x
    x = 51,202,065.57/8,232.75
  6. Step 6: Final answer
    x = 6,219.32

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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.