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Finding the Fourth Proportional to 7,769.52, 11,654.98 and 2,504.99

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Solution

The fourth proportional to 7,769.52, 11,654.98 and 2,504.99 is: 3,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,769.52 : 11,654.98 = 2,504.99 : x
  2. Step 2: Convert to fraction form
    7,769.52/11,654.98 = 2,504.99/x
  3. Step 3: Cross multiply
    7,769.52x = 11,654.98 × 2,504.99
  4. Step 4: Simplify right side
    7,769.52x = 29,195,631.23
  5. Step 5: Solve for x
    x = 29,195,631.23/7,769.52
  6. Step 6: Final answer
    x = 3,757.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.