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Finding the Fourth Proportional to 6,884.49, 10,325.12 and 2,441.78

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Solution

The fourth proportional to 6,884.49, 10,325.12 and 2,441.78 is: 3,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.49 : 10,325.12 = 2,441.78 : x
  2. Step 2: Convert to fraction form
    6,884.49/10,325.12 = 2,441.78/x
  3. Step 3: Cross multiply
    6,884.49x = 10,325.12 × 2,441.78
  4. Step 4: Simplify right side
    6,884.49x = 25,211,607.68
  5. Step 5: Solve for x
    x = 25,211,607.68/6,884.49
  6. Step 6: Final answer
    x = 3,662.09

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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.