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Finding the Fourth Proportional to 10,794.46, 16,182.10 and 4,219.16

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Solution

The fourth proportional to 10,794.46, 16,182.10 and 4,219.16 is: 6,324.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794.46 : 16,182.10 = 4,219.16 : x
  2. Step 2: Convert to fraction form
    10,794.46/16,182.10 = 4,219.16/x
  3. Step 3: Cross multiply
    10,794.46x = 16,182.10 × 4,219.16
  4. Step 4: Simplify right side
    10,794.46x = 68,274,869.04
  5. Step 5: Solve for x
    x = 68,274,869.04/10,794.46
  6. Step 6: Final answer
    x = 6,324.99

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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.