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Finding the Fourth Proportional to 11,201.78, 16,809.21 and 4,186.62

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Solution

The fourth proportional to 11,201.78, 16,809.21 and 4,186.62 is: 6,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.78 : 16,809.21 = 4,186.62 : x
  2. Step 2: Convert to fraction form
    11,201.78/16,809.21 = 4,186.62/x
  3. Step 3: Cross multiply
    11,201.78x = 16,809.21 × 4,186.62
  4. Step 4: Simplify right side
    11,201.78x = 70,373,774.77
  5. Step 5: Solve for x
    x = 70,373,774.77/11,201.78
  6. Step 6: Final answer
    x = 6,282.37

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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.