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Finding the Fourth Proportional to 7,975.87, 11,021.87 and 5,982.96

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Solution

The fourth proportional to 7,975.87, 11,021.87 and 5,982.96 is: 8,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.87 : 11,021.87 = 5,982.96 : x
  2. Step 2: Convert to fraction form
    7,975.87/11,021.87 = 5,982.96/x
  3. Step 3: Cross multiply
    7,975.87x = 11,021.87 × 5,982.96
  4. Step 4: Simplify right side
    7,975.87x = 65,943,407.34
  5. Step 5: Solve for x
    x = 65,943,407.34/7,975.87
  6. Step 6: Final answer
    x = 8,267.86

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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.