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Finding the Fourth Proportional to 11,661.77, 17,491.84 and 2,896.68

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Solution

The fourth proportional to 11,661.77, 17,491.84 and 2,896.68 is: 4,344.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.77 : 17,491.84 = 2,896.68 : x
  2. Step 2: Convert to fraction form
    11,661.77/17,491.84 = 2,896.68/x
  3. Step 3: Cross multiply
    11,661.77x = 17,491.84 × 2,896.68
  4. Step 4: Simplify right side
    11,661.77x = 50,668,321.44
  5. Step 5: Solve for x
    x = 50,668,321.44/11,661.77
  6. Step 6: Final answer
    x = 4,344.82

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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.