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Finding the Fourth Proportional to 6,813.96, 10,224.01 and 3,480.49

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Solution

The fourth proportional to 6,813.96, 10,224.01 and 3,480.49 is: 5,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,813.96 : 10,224.01 = 3,480.49 : x
  2. Step 2: Convert to fraction form
    6,813.96/10,224.01 = 3,480.49/x
  3. Step 3: Cross multiply
    6,813.96x = 10,224.01 × 3,480.49
  4. Step 4: Simplify right side
    6,813.96x = 35,584,564.56
  5. Step 5: Solve for x
    x = 35,584,564.56/6,813.96
  6. Step 6: Final answer
    x = 5,222.30

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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.