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Finding the Fourth Proportional to 7,695.64, 11,544.27 and 3,796.30

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Solution

The fourth proportional to 7,695.64, 11,544.27 and 3,796.30 is: 5,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.64 : 11,544.27 = 3,796.30 : x
  2. Step 2: Convert to fraction form
    7,695.64/11,544.27 = 3,796.30/x
  3. Step 3: Cross multiply
    7,695.64x = 11,544.27 × 3,796.30
  4. Step 4: Simplify right side
    7,695.64x = 43,825,512.20
  5. Step 5: Solve for x
    x = 43,825,512.20/7,695.64
  6. Step 6: Final answer
    x = 5,694.85

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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.