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Finding the Fourth Proportional to 11,163.72, 15,406.50 and 6,447.09

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Solution

The fourth proportional to 11,163.72, 15,406.50 and 6,447.09 is: 8,897.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.72 : 15,406.50 = 6,447.09 : x
  2. Step 2: Convert to fraction form
    11,163.72/15,406.50 = 6,447.09/x
  3. Step 3: Cross multiply
    11,163.72x = 15,406.50 × 6,447.09
  4. Step 4: Simplify right side
    11,163.72x = 99,327,174.04
  5. Step 5: Solve for x
    x = 99,327,174.04/11,163.72
  6. Step 6: Final answer
    x = 8,897.32

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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.