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Finding the Fourth Proportional to 11,773.91, 17,661.69 and 5,200.16

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Solution

The fourth proportional to 11,773.91, 17,661.69 and 5,200.16 is: 7,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.91 : 17,661.69 = 5,200.16 : x
  2. Step 2: Convert to fraction form
    11,773.91/17,661.69 = 5,200.16/x
  3. Step 3: Cross multiply
    11,773.91x = 17,661.69 × 5,200.16
  4. Step 4: Simplify right side
    11,773.91x = 91,843,525.56
  5. Step 5: Solve for x
    x = 91,843,525.56/11,773.91
  6. Step 6: Final answer
    x = 7,800.60

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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.