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Finding the Fourth Proportional to 7,993.68, 11,021.96 and 6,497.04

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Solution

The fourth proportional to 7,993.68, 11,021.96 and 6,497.04 is: 8,958.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.68 : 11,021.96 = 6,497.04 : x
  2. Step 2: Convert to fraction form
    7,993.68/11,021.96 = 6,497.04/x
  3. Step 3: Cross multiply
    7,993.68x = 11,021.96 × 6,497.04
  4. Step 4: Simplify right side
    7,993.68x = 71,610,115.00
  5. Step 5: Solve for x
    x = 71,610,115.00/7,993.68
  6. Step 6: Final answer
    x = 8,958.34

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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.