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Finding the Fourth Proportional to 7,181.82, 10,771.46 and 3,285.30

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Solution

The fourth proportional to 7,181.82, 10,771.46 and 3,285.30 is: 4,927.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.82 : 10,771.46 = 3,285.30 : x
  2. Step 2: Convert to fraction form
    7,181.82/10,771.46 = 3,285.30/x
  3. Step 3: Cross multiply
    7,181.82x = 10,771.46 × 3,285.30
  4. Step 4: Simplify right side
    7,181.82x = 35,387,477.54
  5. Step 5: Solve for x
    x = 35,387,477.54/7,181.82
  6. Step 6: Final answer
    x = 4,927.37

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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.