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Finding the Fourth Proportional to 10,776.44, 16,158.22 and 4,194.92

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Solution

The fourth proportional to 10,776.44, 16,158.22 and 4,194.92 is: 6,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.44 : 16,158.22 = 4,194.92 : x
  2. Step 2: Convert to fraction form
    10,776.44/16,158.22 = 4,194.92/x
  3. Step 3: Cross multiply
    10,776.44x = 16,158.22 × 4,194.92
  4. Step 4: Simplify right side
    10,776.44x = 67,782,470.15
  5. Step 5: Solve for x
    x = 67,782,470.15/10,776.44
  6. Step 6: Final answer
    x = 6,289.87

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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.