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Finding the Fourth Proportional to 11,847.11, 16,343.42 and 7,064.33

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Solution

The fourth proportional to 11,847.11, 16,343.42 and 7,064.33 is: 9,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.11 : 16,343.42 = 7,064.33 : x
  2. Step 2: Convert to fraction form
    11,847.11/16,343.42 = 7,064.33/x
  3. Step 3: Cross multiply
    11,847.11x = 16,343.42 × 7,064.33
  4. Step 4: Simplify right side
    11,847.11x = 115,455,370.73
  5. Step 5: Solve for x
    x = 115,455,370.73/11,847.11
  6. Step 6: Final answer
    x = 9,745.44

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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.