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Finding the Fourth Proportional to 7,869.36, 11,797.92 and 3,968.40

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Solution

The fourth proportional to 7,869.36, 11,797.92 and 3,968.40 is: 5,949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.36 : 11,797.92 = 3,968.40 : x
  2. Step 2: Convert to fraction form
    7,869.36/11,797.92 = 3,968.40/x
  3. Step 3: Cross multiply
    7,869.36x = 11,797.92 × 3,968.40
  4. Step 4: Simplify right side
    7,869.36x = 46,818,865.73
  5. Step 5: Solve for x
    x = 46,818,865.73/7,869.36
  6. Step 6: Final answer
    x = 5,949.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.