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Finding the Fourth Proportional to 6,817.41, 10,218.75 and 3,299.99

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Solution

The fourth proportional to 6,817.41, 10,218.75 and 3,299.99 is: 4,946.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.41 : 10,218.75 = 3,299.99 : x
  2. Step 2: Convert to fraction form
    6,817.41/10,218.75 = 3,299.99/x
  3. Step 3: Cross multiply
    6,817.41x = 10,218.75 × 3,299.99
  4. Step 4: Simplify right side
    6,817.41x = 33,721,721.72
  5. Step 5: Solve for x
    x = 33,721,721.72/6,817.41
  6. Step 6: Final answer
    x = 4,946.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.