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Finding the Fourth Proportional to 8,198.99, 11,314.35 and 4,614.14

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Solution

The fourth proportional to 8,198.99, 11,314.35 and 4,614.14 is: 6,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.99 : 11,314.35 = 4,614.14 : x
  2. Step 2: Convert to fraction form
    8,198.99/11,314.35 = 4,614.14/x
  3. Step 3: Cross multiply
    8,198.99x = 11,314.35 × 4,614.14
  4. Step 4: Simplify right side
    8,198.99x = 52,205,994.91
  5. Step 5: Solve for x
    x = 52,205,994.91/8,198.99
  6. Step 6: Final answer
    x = 6,367.37

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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.