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Finding the Fourth Proportional to 11,343.16, 17,022.51 and 3,947.62

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Solution

The fourth proportional to 11,343.16, 17,022.51 and 3,947.62 is: 5,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.16 : 17,022.51 = 3,947.62 : x
  2. Step 2: Convert to fraction form
    11,343.16/17,022.51 = 3,947.62/x
  3. Step 3: Cross multiply
    11,343.16x = 17,022.51 × 3,947.62
  4. Step 4: Simplify right side
    11,343.16x = 67,198,400.93
  5. Step 5: Solve for x
    x = 67,198,400.93/11,343.16
  6. Step 6: Final answer
    x = 5,924.13

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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.