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Finding the Fourth Proportional to 8,185.32, 12,278.13 and 2,639.16

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Solution

The fourth proportional to 8,185.32, 12,278.13 and 2,639.16 is: 3,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.32 : 12,278.13 = 2,639.16 : x
  2. Step 2: Convert to fraction form
    8,185.32/12,278.13 = 2,639.16/x
  3. Step 3: Cross multiply
    8,185.32x = 12,278.13 × 2,639.16
  4. Step 4: Simplify right side
    8,185.32x = 32,403,949.57
  5. Step 5: Solve for x
    x = 32,403,949.57/8,185.32
  6. Step 6: Final answer
    x = 3,958.79

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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.