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Finding the Fourth Proportional to 8,185.53, 12,278.32 and 2,639.13

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Solution

The fourth proportional to 8,185.53, 12,278.32 and 2,639.13 is: 3,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.53 : 12,278.32 = 2,639.13 : x
  2. Step 2: Convert to fraction form
    8,185.53/12,278.32 = 2,639.13/x
  3. Step 3: Cross multiply
    8,185.53x = 12,278.32 × 2,639.13
  4. Step 4: Simplify right side
    8,185.53x = 32,404,021.27
  5. Step 5: Solve for x
    x = 32,404,021.27/8,185.53
  6. Step 6: Final answer
    x = 3,958.70

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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.