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Finding the Fourth Proportional to 11,864.92, 17,797.92 and 3,968.16

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Solution

The fourth proportional to 11,864.92, 17,797.92 and 3,968.16 is: 5,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.92 : 17,797.92 = 3,968.16 : x
  2. Step 2: Convert to fraction form
    11,864.92/17,797.92 = 3,968.16/x
  3. Step 3: Cross multiply
    11,864.92x = 17,797.92 × 3,968.16
  4. Step 4: Simplify right side
    11,864.92x = 70,624,994.23
  5. Step 5: Solve for x
    x = 70,624,994.23/11,864.92
  6. Step 6: Final answer
    x = 5,952.42

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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.