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Finding the Fourth Proportional to 7,912.80, 11,844.30 and 5,433.12

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Solution

The fourth proportional to 7,912.80, 11,844.30 and 5,433.12 is: 8,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,912.80 : 11,844.30 = 5,433.12 : x
  2. Step 2: Convert to fraction form
    7,912.80/11,844.30 = 5,433.12/x
  3. Step 3: Cross multiply
    7,912.80x = 11,844.30 × 5,433.12
  4. Step 4: Simplify right side
    7,912.80x = 64,351,503.22
  5. Step 5: Solve for x
    x = 64,351,503.22/7,912.80
  6. Step 6: Final answer
    x = 8,132.58

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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.