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Finding the Fourth Proportional to 10,763.69, 16,149.68 and 4,194.50

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Solution

The fourth proportional to 10,763.69, 16,149.68 and 4,194.50 is: 6,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.69 : 16,149.68 = 4,194.50 : x
  2. Step 2: Convert to fraction form
    10,763.69/16,149.68 = 4,194.50/x
  3. Step 3: Cross multiply
    10,763.69x = 16,149.68 × 4,194.50
  4. Step 4: Simplify right side
    10,763.69x = 67,739,811.79
  5. Step 5: Solve for x
    x = 67,739,811.79/10,763.69
  6. Step 6: Final answer
    x = 6,293.36

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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.