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Finding the Fourth Proportional to 7,382.16, 11,063.16 and 3,912.48

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Solution

The fourth proportional to 7,382.16, 11,063.16 and 3,912.48 is: 5,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.16 : 11,063.16 = 3,912.48 : x
  2. Step 2: Convert to fraction form
    7,382.16/11,063.16 = 3,912.48/x
  3. Step 3: Cross multiply
    7,382.16x = 11,063.16 × 3,912.48
  4. Step 4: Simplify right side
    7,382.16x = 43,284,392.24
  5. Step 5: Solve for x
    x = 43,284,392.24/7,382.16
  6. Step 6: Final answer
    x = 5,863.38

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Why These Related Problems?

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