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Finding the Fourth Proportional to 6,829.34, 10,243.22 and 4,019.86

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Solution

The fourth proportional to 6,829.34, 10,243.22 and 4,019.86 is: 6,029.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.34 : 10,243.22 = 4,019.86 : x
  2. Step 2: Convert to fraction form
    6,829.34/10,243.22 = 4,019.86/x
  3. Step 3: Cross multiply
    6,829.34x = 10,243.22 × 4,019.86
  4. Step 4: Simplify right side
    6,829.34x = 41,176,310.35
  5. Step 5: Solve for x
    x = 41,176,310.35/6,829.34
  6. Step 6: Final answer
    x = 6,029.32

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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.