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Finding the Fourth Proportional to 7,882.84, 11,822.94 and 2,884.18

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Solution

The fourth proportional to 7,882.84, 11,822.94 and 2,884.18 is: 4,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.84 : 11,822.94 = 2,884.18 : x
  2. Step 2: Convert to fraction form
    7,882.84/11,822.94 = 2,884.18/x
  3. Step 3: Cross multiply
    7,882.84x = 11,822.94 × 2,884.18
  4. Step 4: Simplify right side
    7,882.84x = 34,099,487.09
  5. Step 5: Solve for x
    x = 34,099,487.09/7,882.84
  6. Step 6: Final answer
    x = 4,325.79

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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.