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Finding the Fourth Proportional to 7,735.76, 10,675.28 and 4,198.80

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Solution

The fourth proportional to 7,735.76, 10,675.28 and 4,198.80 is: 5,794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.76 : 10,675.28 = 4,198.80 : x
  2. Step 2: Convert to fraction form
    7,735.76/10,675.28 = 4,198.80/x
  3. Step 3: Cross multiply
    7,735.76x = 10,675.28 × 4,198.80
  4. Step 4: Simplify right side
    7,735.76x = 44,823,365.66
  5. Step 5: Solve for x
    x = 44,823,365.66/7,735.76
  6. Step 6: Final answer
    x = 5,794.31

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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.