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Finding the Fourth Proportional to 10,849.68, 16,274.22 and 3,454.56

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Solution

The fourth proportional to 10,849.68, 16,274.22 and 3,454.56 is: 5,181.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.68 : 16,274.22 = 3,454.56 : x
  2. Step 2: Convert to fraction form
    10,849.68/16,274.22 = 3,454.56/x
  3. Step 3: Cross multiply
    10,849.68x = 16,274.22 × 3,454.56
  4. Step 4: Simplify right side
    10,849.68x = 56,220,269.44
  5. Step 5: Solve for x
    x = 56,220,269.44/10,849.68
  6. Step 6: Final answer
    x = 5,181.74

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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.