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Finding the Fourth Proportional to 10,763.94, 16,150.05 and 4,194.78

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Solution

The fourth proportional to 10,763.94, 16,150.05 and 4,194.78 is: 6,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.94 : 16,150.05 = 4,194.78 : x
  2. Step 2: Convert to fraction form
    10,763.94/16,150.05 = 4,194.78/x
  3. Step 3: Cross multiply
    10,763.94x = 16,150.05 × 4,194.78
  4. Step 4: Simplify right side
    10,763.94x = 67,745,906.74
  5. Step 5: Solve for x
    x = 67,745,906.74/10,763.94
  6. Step 6: Final answer
    x = 6,293.78

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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.