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Finding the Fourth Proportional to 6,847.67, 10,273.16 and 4,038.84

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Solution

The fourth proportional to 6,847.67, 10,273.16 and 4,038.84 is: 6,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.67 : 10,273.16 = 4,038.84 : x
  2. Step 2: Convert to fraction form
    6,847.67/10,273.16 = 4,038.84/x
  3. Step 3: Cross multiply
    6,847.67x = 10,273.16 × 4,038.84
  4. Step 4: Simplify right side
    6,847.67x = 41,491,659.63
  5. Step 5: Solve for x
    x = 41,491,659.63/6,847.67
  6. Step 6: Final answer
    x = 6,059.24

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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.