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Finding the Fourth Proportional to 7,770.57, 11,647.55 and 3,084.09

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Solution

The fourth proportional to 7,770.57, 11,647.55 and 3,084.09 is: 4,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.57 : 11,647.55 = 3,084.09 : x
  2. Step 2: Convert to fraction form
    7,770.57/11,647.55 = 3,084.09/x
  3. Step 3: Cross multiply
    7,770.57x = 11,647.55 × 3,084.09
  4. Step 4: Simplify right side
    7,770.57x = 35,922,104.68
  5. Step 5: Solve for x
    x = 35,922,104.68/7,770.57
  6. Step 6: Final answer
    x = 4,622.84

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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.