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Finding the Fourth Proportional to 7,786.62, 11,684.10 and 5,949.54

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Solution

The fourth proportional to 7,786.62, 11,684.10 and 5,949.54 is: 8,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.62 : 11,684.10 = 5,949.54 : x
  2. Step 2: Convert to fraction form
    7,786.62/11,684.10 = 5,949.54/x
  3. Step 3: Cross multiply
    7,786.62x = 11,684.10 × 5,949.54
  4. Step 4: Simplify right side
    7,786.62x = 69,515,020.31
  5. Step 5: Solve for x
    x = 69,515,020.31/7,786.62
  6. Step 6: Final answer
    x = 8,927.50

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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.