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Finding the Fourth Proportional to 8,021.69, 12,029.80 and 4,071.43

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Solution

The fourth proportional to 8,021.69, 12,029.80 and 4,071.43 is: 6,105.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.69 : 12,029.80 = 4,071.43 : x
  2. Step 2: Convert to fraction form
    8,021.69/12,029.80 = 4,071.43/x
  3. Step 3: Cross multiply
    8,021.69x = 12,029.80 × 4,071.43
  4. Step 4: Simplify right side
    8,021.69x = 48,978,488.61
  5. Step 5: Solve for x
    x = 48,978,488.61/8,021.69
  6. Step 6: Final answer
    x = 6,105.76

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