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Finding the Fourth Proportional to 11,729.94, 16,186.29 and 6,949.05

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Solution

The fourth proportional to 11,729.94, 16,186.29 and 6,949.05 is: 9,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.94 : 16,186.29 = 6,949.05 : x
  2. Step 2: Convert to fraction form
    11,729.94/16,186.29 = 6,949.05/x
  3. Step 3: Cross multiply
    11,729.94x = 16,186.29 × 6,949.05
  4. Step 4: Simplify right side
    11,729.94x = 112,479,338.52
  5. Step 5: Solve for x
    x = 112,479,338.52/11,729.94
  6. Step 6: Final answer
    x = 9,589.08

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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.