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Finding the Fourth Proportional to 12,118.16, 16,722.15 and 6,811.94

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Solution

The fourth proportional to 12,118.16, 16,722.15 and 6,811.94 is: 9,399.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.16 : 16,722.15 = 6,811.94 : x
  2. Step 2: Convert to fraction form
    12,118.16/16,722.15 = 6,811.94/x
  3. Step 3: Cross multiply
    12,118.16x = 16,722.15 × 6,811.94
  4. Step 4: Simplify right side
    12,118.16x = 113,910,282.47
  5. Step 5: Solve for x
    x = 113,910,282.47/12,118.16
  6. Step 6: Final answer
    x = 9,399.97

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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.