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Finding the Fourth Proportional to 7,693.68, 11,544.16 and 3,993.92

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Solution

The fourth proportional to 7,693.68, 11,544.16 and 3,993.92 is: 5,992.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.68 : 11,544.16 = 3,993.92 : x
  2. Step 2: Convert to fraction form
    7,693.68/11,544.16 = 3,993.92/x
  3. Step 3: Cross multiply
    7,693.68x = 11,544.16 × 3,993.92
  4. Step 4: Simplify right side
    7,693.68x = 46,106,451.51
  5. Step 5: Solve for x
    x = 46,106,451.51/7,693.68
  6. Step 6: Final answer
    x = 5,992.77

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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.