Home / 7,977.75-11,967.83-2,782.41

Finding the Fourth Proportional to 7,977.75, 11,967.83 and 2,782.41

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Solution

The fourth proportional to 7,977.75, 11,967.83 and 2,782.41 is: 4,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.75 : 11,967.83 = 2,782.41 : x
  2. Step 2: Convert to fraction form
    7,977.75/11,967.83 = 2,782.41/x
  3. Step 3: Cross multiply
    7,977.75x = 11,967.83 × 2,782.41
  4. Step 4: Simplify right side
    7,977.75x = 33,299,409.87
  5. Step 5: Solve for x
    x = 33,299,409.87/7,977.75
  6. Step 6: Final answer
    x = 4,174.04

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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.