Home / 7,982.34-11,974.38-3,056.16

Finding the Fourth Proportional to 7,982.34, 11,974.38 and 3,056.16

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Solution

The fourth proportional to 7,982.34, 11,974.38 and 3,056.16 is: 4,584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982.34 : 11,974.38 = 3,056.16 : x
  2. Step 2: Convert to fraction form
    7,982.34/11,974.38 = 3,056.16/x
  3. Step 3: Cross multiply
    7,982.34x = 11,974.38 × 3,056.16
  4. Step 4: Simplify right side
    7,982.34x = 36,595,621.18
  5. Step 5: Solve for x
    x = 36,595,621.18/7,982.34
  6. Step 6: Final answer
    x = 4,584.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.