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Finding the Fourth Proportional to 11,992.12, 17,993.36 and 6,438.98

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Solution

The fourth proportional to 11,992.12, 17,993.36 and 6,438.98 is: 9,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,992.12 : 17,993.36 = 6,438.98 : x
  2. Step 2: Convert to fraction form
    11,992.12/17,993.36 = 6,438.98/x
  3. Step 3: Cross multiply
    11,992.12x = 17,993.36 × 6,438.98
  4. Step 4: Simplify right side
    11,992.12x = 115,858,885.17
  5. Step 5: Solve for x
    x = 115,858,885.17/11,992.12
  6. Step 6: Final answer
    x = 9,661.25

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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.