Home / 7,723.28-11,584.92-3,102.96

Finding the Fourth Proportional to 7,723.28, 11,584.92 and 3,102.96

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Solution

The fourth proportional to 7,723.28, 11,584.92 and 3,102.96 is: 4,654.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,723.28 : 11,584.92 = 3,102.96 : x
  2. Step 2: Convert to fraction form
    7,723.28/11,584.92 = 3,102.96/x
  3. Step 3: Cross multiply
    7,723.28x = 11,584.92 × 3,102.96
  4. Step 4: Simplify right side
    7,723.28x = 35,947,543.36
  5. Step 5: Solve for x
    x = 35,947,543.36/7,723.28
  6. Step 6: Final answer
    x = 4,654.44

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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.