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Finding the Fourth Proportional to 7,977.56, 11,906.03 and 7,770.20

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Solution

The fourth proportional to 7,977.56, 11,906.03 and 7,770.20 is: 11,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.56 : 11,906.03 = 7,770.20 : x
  2. Step 2: Convert to fraction form
    7,977.56/11,906.03 = 7,770.20/x
  3. Step 3: Cross multiply
    7,977.56x = 11,906.03 × 7,770.20
  4. Step 4: Simplify right side
    7,977.56x = 92,512,223.97
  5. Step 5: Solve for x
    x = 92,512,223.97/7,977.56
  6. Step 6: Final answer
    x = 11,596.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.