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Finding the Fourth Proportional to 11,881.49, 16,367.85 and 9,993.11

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Solution

The fourth proportional to 11,881.49, 16,367.85 and 9,993.11 is: 13,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,881.49 : 16,367.85 = 9,993.11 : x
  2. Step 2: Convert to fraction form
    11,881.49/16,367.85 = 9,993.11/x
  3. Step 3: Cross multiply
    11,881.49x = 16,367.85 × 9,993.11
  4. Step 4: Simplify right side
    11,881.49x = 163,565,643.67
  5. Step 5: Solve for x
    x = 163,565,643.67/11,881.49
  6. Step 6: Final answer
    x = 13,766.43

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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.