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Finding the Fourth Proportional to 6,822.89, 10,224.08 and 3,858.14

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Solution

The fourth proportional to 6,822.89, 10,224.08 and 3,858.14 is: 5,781.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.89 : 10,224.08 = 3,858.14 : x
  2. Step 2: Convert to fraction form
    6,822.89/10,224.08 = 3,858.14/x
  3. Step 3: Cross multiply
    6,822.89x = 10,224.08 × 3,858.14
  4. Step 4: Simplify right side
    6,822.89x = 39,445,861.60
  5. Step 5: Solve for x
    x = 39,445,861.60/6,822.89
  6. Step 6: Final answer
    x = 5,781.41

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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.