Home / 10,206.44-15,273.18-8,000

Finding the Fourth Proportional to 10,206.44, 15,273.18 and 8,000

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Solution

The fourth proportional to 10,206.44, 15,273.18 and 8,000 is: 11,971.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.44 : 15,273.18 = 8,000 : x
  2. Step 2: Convert to fraction form
    10,206.44/15,273.18 = 8,000/x
  3. Step 3: Cross multiply
    10,206.44x = 15,273.18 × 8,000
  4. Step 4: Simplify right side
    10,206.44x = 122,185,440
  5. Step 5: Solve for x
    x = 122,185,440/10,206.44
  6. Step 6: Final answer
    x = 11,971.41

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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.