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Finding the Fourth Proportional to 11,696.87, 17,533.73 and 4,672.69

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Solution

The fourth proportional to 11,696.87, 17,533.73 and 4,672.69 is: 7,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.87 : 17,533.73 = 4,672.69 : x
  2. Step 2: Convert to fraction form
    11,696.87/17,533.73 = 4,672.69/x
  3. Step 3: Cross multiply
    11,696.87x = 17,533.73 × 4,672.69
  4. Step 4: Simplify right side
    11,696.87x = 81,929,652.68
  5. Step 5: Solve for x
    x = 81,929,652.68/11,696.87
  6. Step 6: Final answer
    x = 7,004.41

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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.