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Finding the Fourth Proportional to 6,099.52, 8,414.09 and 3,710.23

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Solution

The fourth proportional to 6,099.52, 8,414.09 and 3,710.23 is: 5,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.52 : 8,414.09 = 3,710.23 : x
  2. Step 2: Convert to fraction form
    6,099.52/8,414.09 = 3,710.23/x
  3. Step 3: Cross multiply
    6,099.52x = 8,414.09 × 3,710.23
  4. Step 4: Simplify right side
    6,099.52x = 31,218,191.23
  5. Step 5: Solve for x
    x = 31,218,191.23/6,099.52
  6. Step 6: Final answer
    x = 5,118.14

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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.