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Finding the Fourth Proportional to 7,086.74, 9,782.85 and 5,198.30

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Solution

The fourth proportional to 7,086.74, 9,782.85 and 5,198.30 is: 7,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.74 : 9,782.85 = 5,198.30 : x
  2. Step 2: Convert to fraction form
    7,086.74/9,782.85 = 5,198.30/x
  3. Step 3: Cross multiply
    7,086.74x = 9,782.85 × 5,198.30
  4. Step 4: Simplify right side
    7,086.74x = 50,854,140.24
  5. Step 5: Solve for x
    x = 50,854,140.24/7,086.74
  6. Step 6: Final answer
    x = 7,175.96

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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.