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Finding the Fourth Proportional to 11,628.80, 16,046.94 and 6,912.20

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Solution

The fourth proportional to 11,628.80, 16,046.94 and 6,912.20 is: 9,538.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.80 : 16,046.94 = 6,912.20 : x
  2. Step 2: Convert to fraction form
    11,628.80/16,046.94 = 6,912.20/x
  3. Step 3: Cross multiply
    11,628.80x = 16,046.94 × 6,912.20
  4. Step 4: Simplify right side
    11,628.80x = 110,919,658.67
  5. Step 5: Solve for x
    x = 110,919,658.67/11,628.80
  6. Step 6: Final answer
    x = 9,538.36

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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.