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Finding the Fourth Proportional to 7,772.91, 11,659.06 and 2,226.03

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Solution

The fourth proportional to 7,772.91, 11,659.06 and 2,226.03 is: 3,338.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.91 : 11,659.06 = 2,226.03 : x
  2. Step 2: Convert to fraction form
    7,772.91/11,659.06 = 2,226.03/x
  3. Step 3: Cross multiply
    7,772.91x = 11,659.06 × 2,226.03
  4. Step 4: Simplify right side
    7,772.91x = 25,953,363.87
  5. Step 5: Solve for x
    x = 25,953,363.87/7,772.91
  6. Step 6: Final answer
    x = 3,338.95

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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.