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Finding the Fourth Proportional to 6,863.54, 10,294.22 and 2,182.94

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Solution

The fourth proportional to 6,863.54, 10,294.22 and 2,182.94 is: 3,274.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.54 : 10,294.22 = 2,182.94 : x
  2. Step 2: Convert to fraction form
    6,863.54/10,294.22 = 2,182.94/x
  3. Step 3: Cross multiply
    6,863.54x = 10,294.22 × 2,182.94
  4. Step 4: Simplify right side
    6,863.54x = 22,471,664.61
  5. Step 5: Solve for x
    x = 22,471,664.61/6,863.54
  6. Step 6: Final answer
    x = 3,274.06

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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.