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Finding the Fourth Proportional to 7,735.69, 10,675.26 and 4,198.90

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Solution

The fourth proportional to 7,735.69, 10,675.26 and 4,198.90 is: 5,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.69 : 10,675.26 = 4,198.90 : x
  2. Step 2: Convert to fraction form
    7,735.69/10,675.26 = 4,198.90/x
  3. Step 3: Cross multiply
    7,735.69x = 10,675.26 × 4,198.90
  4. Step 4: Simplify right side
    7,735.69x = 44,824,349.21
  5. Step 5: Solve for x
    x = 44,824,349.21/7,735.69
  6. Step 6: Final answer
    x = 5,794.49

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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.