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Finding the Fourth Proportional to 11,812.36, 17,722.64 and 5,243.16

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Solution

The fourth proportional to 11,812.36, 17,722.64 and 5,243.16 is: 7,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.36 : 17,722.64 = 5,243.16 : x
  2. Step 2: Convert to fraction form
    11,812.36/17,722.64 = 5,243.16/x
  3. Step 3: Cross multiply
    11,812.36x = 17,722.64 × 5,243.16
  4. Step 4: Simplify right side
    11,812.36x = 92,922,637.14
  5. Step 5: Solve for x
    x = 92,922,637.14/11,812.36
  6. Step 6: Final answer
    x = 7,866.56

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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.