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Finding the Fourth Proportional to 7,768.78, 11,654.79 and 2,504.18

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Solution

The fourth proportional to 7,768.78, 11,654.79 and 2,504.18 is: 3,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.78 : 11,654.79 = 2,504.18 : x
  2. Step 2: Convert to fraction form
    7,768.78/11,654.79 = 2,504.18/x
  3. Step 3: Cross multiply
    7,768.78x = 11,654.79 × 2,504.18
  4. Step 4: Simplify right side
    7,768.78x = 29,185,692.02
  5. Step 5: Solve for x
    x = 29,185,692.02/7,768.78
  6. Step 6: Final answer
    x = 3,756.79

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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.