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Finding the Fourth Proportional to 6,982.80, 10,522.23 and 5,777.22

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Solution

The fourth proportional to 6,982.80, 10,522.23 and 5,777.22 is: 8,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.80 : 10,522.23 = 5,777.22 : x
  2. Step 2: Convert to fraction form
    6,982.80/10,522.23 = 5,777.22/x
  3. Step 3: Cross multiply
    6,982.80x = 10,522.23 × 5,777.22
  4. Step 4: Simplify right side
    6,982.80x = 60,789,237.60
  5. Step 5: Solve for x
    x = 60,789,237.60/6,982.80
  6. Step 6: Final answer
    x = 8,705.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.