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Finding the Fourth Proportional to 7,768.38, 11,654.09 and 3,087.51

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Solution

The fourth proportional to 7,768.38, 11,654.09 and 3,087.51 is: 4,631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.38 : 11,654.09 = 3,087.51 : x
  2. Step 2: Convert to fraction form
    7,768.38/11,654.09 = 3,087.51/x
  3. Step 3: Cross multiply
    7,768.38x = 11,654.09 × 3,087.51
  4. Step 4: Simplify right side
    7,768.38x = 35,982,103.98
  5. Step 5: Solve for x
    x = 35,982,103.98/7,768.38
  6. Step 6: Final answer
    x = 4,631.87

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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.