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Finding the Fourth Proportional to 8,482, 11,705.22 and 5,170

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Solution

The fourth proportional to 8,482, 11,705.22 and 5,170 is: 7,134.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,482 : 11,705.22 = 5,170 : x
  2. Step 2: Convert to fraction form
    8,482/11,705.22 = 5,170/x
  3. Step 3: Cross multiply
    8,482x = 11,705.22 × 5,170
  4. Step 4: Simplify right side
    8,482x = 60,515,987.40
  5. Step 5: Solve for x
    x = 60,515,987.40/8,482
  6. Step 6: Final answer
    x = 7,134.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.