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Finding the Fourth Proportional to 7,770.98, 11,661.94 and 3,389.69

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Solution

The fourth proportional to 7,770.98, 11,661.94 and 3,389.69 is: 5,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.98 : 11,661.94 = 3,389.69 : x
  2. Step 2: Convert to fraction form
    7,770.98/11,661.94 = 3,389.69/x
  3. Step 3: Cross multiply
    7,770.98x = 11,661.94 × 3,389.69
  4. Step 4: Simplify right side
    7,770.98x = 39,530,361.40
  5. Step 5: Solve for x
    x = 39,530,361.40/7,770.98
  6. Step 6: Final answer
    x = 5,086.92

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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.