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Finding the Fourth Proportional to 11,771.94, 16,243.95 and 6,990.18

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Solution

The fourth proportional to 11,771.94, 16,243.95 and 6,990.18 is: 9,645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.94 : 16,243.95 = 6,990.18 : x
  2. Step 2: Convert to fraction form
    11,771.94/16,243.95 = 6,990.18/x
  3. Step 3: Cross multiply
    11,771.94x = 16,243.95 × 6,990.18
  4. Step 4: Simplify right side
    11,771.94x = 113,548,134.41
  5. Step 5: Solve for x
    x = 113,548,134.41/11,771.94
  6. Step 6: Final answer
    x = 9,645.66

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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.