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Finding the Fourth Proportional to 11,853.29, 17,772.62 and 5,090.82

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Solution

The fourth proportional to 11,853.29, 17,772.62 and 5,090.82 is: 7,633.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.29 : 17,772.62 = 5,090.82 : x
  2. Step 2: Convert to fraction form
    11,853.29/17,772.62 = 5,090.82/x
  3. Step 3: Cross multiply
    11,853.29x = 17,772.62 × 5,090.82
  4. Step 4: Simplify right side
    11,853.29x = 90,477,183.89
  5. Step 5: Solve for x
    x = 90,477,183.89/11,853.29
  6. Step 6: Final answer
    x = 7,633.09

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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.