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Finding the Fourth Proportional to 7,884.66, 11,811.15 and 3,923.97

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Solution

The fourth proportional to 7,884.66, 11,811.15 and 3,923.97 is: 5,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.66 : 11,811.15 = 3,923.97 : x
  2. Step 2: Convert to fraction form
    7,884.66/11,811.15 = 3,923.97/x
  3. Step 3: Cross multiply
    7,884.66x = 11,811.15 × 3,923.97
  4. Step 4: Simplify right side
    7,884.66x = 46,346,553.97
  5. Step 5: Solve for x
    x = 46,346,553.97/7,884.66
  6. Step 6: Final answer
    x = 5,878.06

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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.