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Finding the Fourth Proportional to 7,865.49, 11,796.39 and 3,480.54

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Solution

The fourth proportional to 7,865.49, 11,796.39 and 3,480.54 is: 5,219.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.49 : 11,796.39 = 3,480.54 : x
  2. Step 2: Convert to fraction form
    7,865.49/11,796.39 = 3,480.54/x
  3. Step 3: Cross multiply
    7,865.49x = 11,796.39 × 3,480.54
  4. Step 4: Simplify right side
    7,865.49x = 41,057,807.25
  5. Step 5: Solve for x
    x = 41,057,807.25/7,865.49
  6. Step 6: Final answer
    x = 5,219.99

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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.