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Finding the Fourth Proportional to 11,771.93, 16,249.89 and 7,055.30

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Solution

The fourth proportional to 11,771.93, 16,249.89 and 7,055.30 is: 9,739.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.93 : 16,249.89 = 7,055.30 : x
  2. Step 2: Convert to fraction form
    11,771.93/16,249.89 = 7,055.30/x
  3. Step 3: Cross multiply
    11,771.93x = 16,249.89 × 7,055.30
  4. Step 4: Simplify right side
    11,771.93x = 114,647,848.92
  5. Step 5: Solve for x
    x = 114,647,848.92/11,771.93
  6. Step 6: Final answer
    x = 9,739.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.