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Finding the Fourth Proportional to 7,193.54, 10,770.31 and 3,675.95

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Solution

The fourth proportional to 7,193.54, 10,770.31 and 3,675.95 is: 5,503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,193.54 : 10,770.31 = 3,675.95 : x
  2. Step 2: Convert to fraction form
    7,193.54/10,770.31 = 3,675.95/x
  3. Step 3: Cross multiply
    7,193.54x = 10,770.31 × 3,675.95
  4. Step 4: Simplify right side
    7,193.54x = 39,591,121.04
  5. Step 5: Solve for x
    x = 39,591,121.04/7,193.54
  6. Step 6: Final answer
    x = 5,503.70

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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.