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Finding the Fourth Proportional to 11,471.37, 17,212.32 and 6,800.64

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Solution

The fourth proportional to 11,471.37, 17,212.32 and 6,800.64 is: 10,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.37 : 17,212.32 = 6,800.64 : x
  2. Step 2: Convert to fraction form
    11,471.37/17,212.32 = 6,800.64/x
  3. Step 3: Cross multiply
    11,471.37x = 17,212.32 × 6,800.64
  4. Step 4: Simplify right side
    11,471.37x = 117,054,791.88
  5. Step 5: Solve for x
    x = 117,054,791.88/11,471.37
  6. Step 6: Final answer
    x = 10,204.08

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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.