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Finding the Fourth Proportional to 8,185.39, 12,278.99 and 2,921.63

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Solution

The fourth proportional to 8,185.39, 12,278.99 and 2,921.63 is: 4,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.39 : 12,278.99 = 2,921.63 : x
  2. Step 2: Convert to fraction form
    8,185.39/12,278.99 = 2,921.63/x
  3. Step 3: Cross multiply
    8,185.39x = 12,278.99 × 2,921.63
  4. Step 4: Simplify right side
    8,185.39x = 35,874,589.55
  5. Step 5: Solve for x
    x = 35,874,589.55/8,185.39
  6. Step 6: Final answer
    x = 4,382.76

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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.