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Finding the Fourth Proportional to 7,735.50, 10,674.93 and 4,198.73

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Solution

The fourth proportional to 7,735.50, 10,674.93 and 4,198.73 is: 5,794.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.50 : 10,674.93 = 4,198.73 : x
  2. Step 2: Convert to fraction form
    7,735.50/10,674.93 = 4,198.73/x
  3. Step 3: Cross multiply
    7,735.50x = 10,674.93 × 4,198.73
  4. Step 4: Simplify right side
    7,735.50x = 44,821,095.46
  5. Step 5: Solve for x
    x = 44,821,095.46/7,735.50
  6. Step 6: Final answer
    x = 5,794.21

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