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Finding the Fourth Proportional to 7,196.96, 10,793 and 2,815.68

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Solution

The fourth proportional to 7,196.96, 10,793 and 2,815.68 is: 4,222.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.96 : 10,793 = 2,815.68 : x
  2. Step 2: Convert to fraction form
    7,196.96/10,793 = 2,815.68/x
  3. Step 3: Cross multiply
    7,196.96x = 10,793 × 2,815.68
  4. Step 4: Simplify right side
    7,196.96x = 30,389,634.24
  5. Step 5: Solve for x
    x = 30,389,634.24/7,196.96
  6. Step 6: Final answer
    x = 4,222.57

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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.