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Finding the Fourth Proportional to 10,617.50, 15,942.69 and 5,696.75

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Solution

The fourth proportional to 10,617.50, 15,942.69 and 5,696.75 is: 8,553.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.50 : 15,942.69 = 5,696.75 : x
  2. Step 2: Convert to fraction form
    10,617.50/15,942.69 = 5,696.75/x
  3. Step 3: Cross multiply
    10,617.50x = 15,942.69 × 5,696.75
  4. Step 4: Simplify right side
    10,617.50x = 90,821,439.54
  5. Step 5: Solve for x
    x = 90,821,439.54/10,617.50
  6. Step 6: Final answer
    x = 8,553.94

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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.