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Finding the Fourth Proportional to 7,772.24, 11,654.04 and 3,149.84

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Solution

The fourth proportional to 7,772.24, 11,654.04 and 3,149.84 is: 4,723.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.24 : 11,654.04 = 3,149.84 : x
  2. Step 2: Convert to fraction form
    7,772.24/11,654.04 = 3,149.84/x
  3. Step 3: Cross multiply
    7,772.24x = 11,654.04 × 3,149.84
  4. Step 4: Simplify right side
    7,772.24x = 36,708,361.35
  5. Step 5: Solve for x
    x = 36,708,361.35/7,772.24
  6. Step 6: Final answer
    x = 4,723.01

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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.