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Finding the Fourth Proportional to 8,185.56, 12,274.74 and 2,340.84

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Solution

The fourth proportional to 8,185.56, 12,274.74 and 2,340.84 is: 3,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.56 : 12,274.74 = 2,340.84 : x
  2. Step 2: Convert to fraction form
    8,185.56/12,274.74 = 2,340.84/x
  3. Step 3: Cross multiply
    8,185.56x = 12,274.74 × 2,340.84
  4. Step 4: Simplify right side
    8,185.56x = 28,733,202.38
  5. Step 5: Solve for x
    x = 28,733,202.38/8,185.56
  6. Step 6: Final answer
    x = 3,510.23

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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.