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Finding the Fourth Proportional to 6,098.24, 8,396.82 and 5,199.99

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Solution

The fourth proportional to 6,098.24, 8,396.82 and 5,199.99 is: 7,160.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.24 : 8,396.82 = 5,199.99 : x
  2. Step 2: Convert to fraction form
    6,098.24/8,396.82 = 5,199.99/x
  3. Step 3: Cross multiply
    6,098.24x = 8,396.82 × 5,199.99
  4. Step 4: Simplify right side
    6,098.24x = 43,663,380.03
  5. Step 5: Solve for x
    x = 43,663,380.03/6,098.24
  6. Step 6: Final answer
    x = 7,160.00

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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.