Home / 7,724.82-11,588.13-2,796.78

Finding the Fourth Proportional to 7,724.82, 11,588.13 and 2,796.78

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Solution

The fourth proportional to 7,724.82, 11,588.13 and 2,796.78 is: 4,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.82 : 11,588.13 = 2,796.78 : x
  2. Step 2: Convert to fraction form
    7,724.82/11,588.13 = 2,796.78/x
  3. Step 3: Cross multiply
    7,724.82x = 11,588.13 × 2,796.78
  4. Step 4: Simplify right side
    7,724.82x = 32,409,450.22
  5. Step 5: Solve for x
    x = 32,409,450.22/7,724.82
  6. Step 6: Final answer
    x = 4,195.50

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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.