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Finding the Fourth Proportional to 8,184.84, 12,270.42 and 3,800.04

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Solution

The fourth proportional to 8,184.84, 12,270.42 and 3,800.04 is: 5,696.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.84 : 12,270.42 = 3,800.04 : x
  2. Step 2: Convert to fraction form
    8,184.84/12,270.42 = 3,800.04/x
  3. Step 3: Cross multiply
    8,184.84x = 12,270.42 × 3,800.04
  4. Step 4: Simplify right side
    8,184.84x = 46,628,086.82
  5. Step 5: Solve for x
    x = 46,628,086.82/8,184.84
  6. Step 6: Final answer
    x = 5,696.88

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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.