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Finding the Fourth Proportional to 6,362.80, 8,782.96 and 5,181.82

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Solution

The fourth proportional to 6,362.80, 8,782.96 and 5,181.82 is: 7,152.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.80 : 8,782.96 = 5,181.82 : x
  2. Step 2: Convert to fraction form
    6,362.80/8,782.96 = 5,181.82/x
  3. Step 3: Cross multiply
    6,362.80x = 8,782.96 × 5,181.82
  4. Step 4: Simplify right side
    6,362.80x = 45,511,717.79
  5. Step 5: Solve for x
    x = 45,511,717.79/6,362.80
  6. Step 6: Final answer
    x = 7,152.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.