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Finding the Fourth Proportional to 8,231.67, 12,343.50 and 4,070.34

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Solution

The fourth proportional to 8,231.67, 12,343.50 and 4,070.34 is: 6,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.67 : 12,343.50 = 4,070.34 : x
  2. Step 2: Convert to fraction form
    8,231.67/12,343.50 = 4,070.34/x
  3. Step 3: Cross multiply
    8,231.67x = 12,343.50 × 4,070.34
  4. Step 4: Simplify right side
    8,231.67x = 50,242,241.79
  5. Step 5: Solve for x
    x = 50,242,241.79/8,231.67
  6. Step 6: Final answer
    x = 6,103.53

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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.