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Finding the Fourth Proportional to 11,563.78, 17,346.15 and 3,666.12

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Solution

The fourth proportional to 11,563.78, 17,346.15 and 3,666.12 is: 5,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.78 : 17,346.15 = 3,666.12 : x
  2. Step 2: Convert to fraction form
    11,563.78/17,346.15 = 3,666.12/x
  3. Step 3: Cross multiply
    11,563.78x = 17,346.15 × 3,666.12
  4. Step 4: Simplify right side
    11,563.78x = 63,593,067.44
  5. Step 5: Solve for x
    x = 63,593,067.44/11,563.78
  6. Step 6: Final answer
    x = 5,499.33

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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.