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Finding the Fourth Proportional to 7,735.03, 10,674.37 and 4,198.24

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Solution

The fourth proportional to 7,735.03, 10,674.37 and 4,198.24 is: 5,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.03 : 10,674.37 = 4,198.24 : x
  2. Step 2: Convert to fraction form
    7,735.03/10,674.37 = 4,198.24/x
  3. Step 3: Cross multiply
    7,735.03x = 10,674.37 × 4,198.24
  4. Step 4: Simplify right side
    7,735.03x = 44,813,567.11
  5. Step 5: Solve for x
    x = 44,813,567.11/7,735.03
  6. Step 6: Final answer
    x = 5,793.59

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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.