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Finding the Fourth Proportional to 7,999.72, 11,993.10 and 3,614.92

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Solution

The fourth proportional to 7,999.72, 11,993.10 and 3,614.92 is: 5,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.72 : 11,993.10 = 3,614.92 : x
  2. Step 2: Convert to fraction form
    7,999.72/11,993.10 = 3,614.92/x
  3. Step 3: Cross multiply
    7,999.72x = 11,993.10 × 3,614.92
  4. Step 4: Simplify right side
    7,999.72x = 43,354,097.05
  5. Step 5: Solve for x
    x = 43,354,097.05/7,999.72
  6. Step 6: Final answer
    x = 5,419.45

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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.