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Finding the Fourth Proportional to 6,812.54, 10,217.19 and 1,882.07

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Solution

The fourth proportional to 6,812.54, 10,217.19 and 1,882.07 is: 2,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.54 : 10,217.19 = 1,882.07 : x
  2. Step 2: Convert to fraction form
    6,812.54/10,217.19 = 1,882.07/x
  3. Step 3: Cross multiply
    6,812.54x = 10,217.19 × 1,882.07
  4. Step 4: Simplify right side
    6,812.54x = 19,229,466.78
  5. Step 5: Solve for x
    x = 19,229,466.78/6,812.54
  6. Step 6: Final answer
    x = 2,822.66

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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.