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Finding the Fourth Proportional to 6,856.65, 10,283.67 and 3,343.13

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Solution

The fourth proportional to 6,856.65, 10,283.67 and 3,343.13 is: 5,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.65 : 10,283.67 = 3,343.13 : x
  2. Step 2: Convert to fraction form
    6,856.65/10,283.67 = 3,343.13/x
  3. Step 3: Cross multiply
    6,856.65x = 10,283.67 × 3,343.13
  4. Step 4: Simplify right side
    6,856.65x = 34,379,645.69
  5. Step 5: Solve for x
    x = 34,379,645.69/6,856.65
  6. Step 6: Final answer
    x = 5,014.06

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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.