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Finding the Fourth Proportional to 8,185.29, 12,275.79 and 2,639.30

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Solution

The fourth proportional to 8,185.29, 12,275.79 and 2,639.30 is: 3,958.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.29 : 12,275.79 = 2,639.30 : x
  2. Step 2: Convert to fraction form
    8,185.29/12,275.79 = 2,639.30/x
  3. Step 3: Cross multiply
    8,185.29x = 12,275.79 × 2,639.30
  4. Step 4: Simplify right side
    8,185.29x = 32,399,431.17
  5. Step 5: Solve for x
    x = 32,399,431.17/8,185.29
  6. Step 6: Final answer
    x = 3,958.25

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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.