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Finding the Fourth Proportional to 6,829, 10,243.74 and 3,905.96

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Solution

The fourth proportional to 6,829, 10,243.74 and 3,905.96 is: 5,859.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829 : 10,243.74 = 3,905.96 : x
  2. Step 2: Convert to fraction form
    6,829/10,243.74 = 3,905.96/x
  3. Step 3: Cross multiply
    6,829x = 10,243.74 × 3,905.96
  4. Step 4: Simplify right side
    6,829x = 40,011,638.69
  5. Step 5: Solve for x
    x = 40,011,638.69/6,829
  6. Step 6: Final answer
    x = 5,859.08

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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.