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Finding the Fourth Proportional to 7,975.62, 10,979.73 and 5,982.84

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Solution

The fourth proportional to 7,975.62, 10,979.73 and 5,982.84 is: 8,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.62 : 10,979.73 = 5,982.84 : x
  2. Step 2: Convert to fraction form
    7,975.62/10,979.73 = 5,982.84/x
  3. Step 3: Cross multiply
    7,975.62x = 10,979.73 × 5,982.84
  4. Step 4: Simplify right side
    7,975.62x = 65,689,967.83
  5. Step 5: Solve for x
    x = 65,689,967.83/7,975.62
  6. Step 6: Final answer
    x = 8,236.35

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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.