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Finding the Fourth Proportional to 6,846.83, 10,274.50 and 4,383.42

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Solution

The fourth proportional to 6,846.83, 10,274.50 and 4,383.42 is: 6,577.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.83 : 10,274.50 = 4,383.42 : x
  2. Step 2: Convert to fraction form
    6,846.83/10,274.50 = 4,383.42/x
  3. Step 3: Cross multiply
    6,846.83x = 10,274.50 × 4,383.42
  4. Step 4: Simplify right side
    6,846.83x = 45,037,391.08
  5. Step 5: Solve for x
    x = 45,037,391.08/6,846.83
  6. Step 6: Final answer
    x = 6,577.85

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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.