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Finding the Fourth Proportional to 7,196.68, 9,930.36 and 4,211.38

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Solution

The fourth proportional to 7,196.68, 9,930.36 and 4,211.38 is: 5,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.68 : 9,930.36 = 4,211.38 : x
  2. Step 2: Convert to fraction form
    7,196.68/9,930.36 = 4,211.38/x
  3. Step 3: Cross multiply
    7,196.68x = 9,930.36 × 4,211.38
  4. Step 4: Simplify right side
    7,196.68x = 41,820,519.50
  5. Step 5: Solve for x
    x = 41,820,519.50/7,196.68
  6. Step 6: Final answer
    x = 5,811.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.