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Finding the Fourth Proportional to 7,850.80, 11,777.82 and 3,410.38

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Solution

The fourth proportional to 7,850.80, 11,777.82 and 3,410.38 is: 5,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.80 : 11,777.82 = 3,410.38 : x
  2. Step 2: Convert to fraction form
    7,850.80/11,777.82 = 3,410.38/x
  3. Step 3: Cross multiply
    7,850.80x = 11,777.82 × 3,410.38
  4. Step 4: Simplify right side
    7,850.80x = 40,166,841.77
  5. Step 5: Solve for x
    x = 40,166,841.77/7,850.80
  6. Step 6: Final answer
    x = 5,116.27

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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.