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Finding the Fourth Proportional to 10,696.20, 16,051.20 and 5,769.27

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Solution

The fourth proportional to 10,696.20, 16,051.20 and 5,769.27 is: 8,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.20 : 16,051.20 = 5,769.27 : x
  2. Step 2: Convert to fraction form
    10,696.20/16,051.20 = 5,769.27/x
  3. Step 3: Cross multiply
    10,696.20x = 16,051.20 × 5,769.27
  4. Step 4: Simplify right side
    10,696.20x = 92,603,684.99
  5. Step 5: Solve for x
    x = 92,603,684.99/10,696.20
  6. Step 6: Final answer
    x = 8,657.63

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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.