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Finding the Fourth Proportional to 10,769.68, 16,151.40 and 4,194.40

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Solution

The fourth proportional to 10,769.68, 16,151.40 and 4,194.40 is: 6,290.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.68 : 16,151.40 = 4,194.40 : x
  2. Step 2: Convert to fraction form
    10,769.68/16,151.40 = 4,194.40/x
  3. Step 3: Cross multiply
    10,769.68x = 16,151.40 × 4,194.40
  4. Step 4: Simplify right side
    10,769.68x = 67,745,432.16
  5. Step 5: Solve for x
    x = 67,745,432.16/10,769.68
  6. Step 6: Final answer
    x = 6,290.38

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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.