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Finding the Fourth Proportional to 6,817.82, 10,176.97 and 5,850.14

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Solution

The fourth proportional to 6,817.82, 10,176.97 and 5,850.14 is: 8,732.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817.82 : 10,176.97 = 5,850.14 : x
  2. Step 2: Convert to fraction form
    6,817.82/10,176.97 = 5,850.14/x
  3. Step 3: Cross multiply
    6,817.82x = 10,176.97 × 5,850.14
  4. Step 4: Simplify right side
    6,817.82x = 59,536,699.28
  5. Step 5: Solve for x
    x = 59,536,699.28/6,817.82
  6. Step 6: Final answer
    x = 8,732.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.