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Finding the Fourth Proportional to 7,735.53, 10,675.14 and 4,198.86

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Solution

The fourth proportional to 7,735.53, 10,675.14 and 4,198.86 is: 5,794.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.53 : 10,675.14 = 4,198.86 : x
  2. Step 2: Convert to fraction form
    7,735.53/10,675.14 = 4,198.86/x
  3. Step 3: Cross multiply
    7,735.53x = 10,675.14 × 4,198.86
  4. Step 4: Simplify right side
    7,735.53x = 44,823,418.34
  5. Step 5: Solve for x
    x = 44,823,418.34/7,735.53
  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.