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Finding the Fourth Proportional to 7,993.92, 11,033.04 and 4,636.24

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Solution

The fourth proportional to 7,993.92, 11,033.04 and 4,636.24 is: 6,398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.92 : 11,033.04 = 4,636.24 : x
  2. Step 2: Convert to fraction form
    7,993.92/11,033.04 = 4,636.24/x
  3. Step 3: Cross multiply
    7,993.92x = 11,033.04 × 4,636.24
  4. Step 4: Simplify right side
    7,993.92x = 51,151,821.37
  5. Step 5: Solve for x
    x = 51,151,821.37/7,993.92
  6. Step 6: Final answer
    x = 6,398.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.