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Finding the Fourth Proportional to 7,693.36, 11,540.04 and 3,993.68

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Solution

The fourth proportional to 7,693.36, 11,540.04 and 3,993.68 is: 5,990.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.36 : 11,540.04 = 3,993.68 : x
  2. Step 2: Convert to fraction form
    7,693.36/11,540.04 = 3,993.68/x
  3. Step 3: Cross multiply
    7,693.36x = 11,540.04 × 3,993.68
  4. Step 4: Simplify right side
    7,693.36x = 46,087,226.95
  5. Step 5: Solve for x
    x = 46,087,226.95/7,693.36
  6. Step 6: Final answer
    x = 5,990.52

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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.