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Finding the Fourth Proportional to 7,844.32, 11,760.88 and 3,682

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Solution

The fourth proportional to 7,844.32, 11,760.88 and 3,682 is: 5,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.32 : 11,760.88 = 3,682 : x
  2. Step 2: Convert to fraction form
    7,844.32/11,760.88 = 3,682/x
  3. Step 3: Cross multiply
    7,844.32x = 11,760.88 × 3,682
  4. Step 4: Simplify right side
    7,844.32x = 43,303,560.16
  5. Step 5: Solve for x
    x = 43,303,560.16/7,844.32
  6. Step 6: Final answer
    x = 5,520.37

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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.