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Finding the Fourth Proportional to 6,806.61, 10,213.16 and 3,106.94

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Solution

The fourth proportional to 6,806.61, 10,213.16 and 3,106.94 is: 4,661.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,806.61 : 10,213.16 = 3,106.94 : x
  2. Step 2: Convert to fraction form
    6,806.61/10,213.16 = 3,106.94/x
  3. Step 3: Cross multiply
    6,806.61x = 10,213.16 × 3,106.94
  4. Step 4: Simplify right side
    6,806.61x = 31,731,608.73
  5. Step 5: Solve for x
    x = 31,731,608.73/6,806.61
  6. Step 6: Final answer
    x = 4,661.88

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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.