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Finding the Fourth Proportional to 7,844.64, 11,744.32 and 6,108

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Solution

The fourth proportional to 7,844.64, 11,744.32 and 6,108 is: 9,144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.64 : 11,744.32 = 6,108 : x
  2. Step 2: Convert to fraction form
    7,844.64/11,744.32 = 6,108/x
  3. Step 3: Cross multiply
    7,844.64x = 11,744.32 × 6,108
  4. Step 4: Simplify right side
    7,844.64x = 71,734,306.56
  5. Step 5: Solve for x
    x = 71,734,306.56/7,844.64
  6. Step 6: Final answer
    x = 9,144.37

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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.