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Finding the Fourth Proportional to 10,846.68, 16,269.16 and 3,450.84

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Solution

The fourth proportional to 10,846.68, 16,269.16 and 3,450.84 is: 5,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.68 : 16,269.16 = 3,450.84 : x
  2. Step 2: Convert to fraction form
    10,846.68/16,269.16 = 3,450.84/x
  3. Step 3: Cross multiply
    10,846.68x = 16,269.16 × 3,450.84
  4. Step 4: Simplify right side
    10,846.68x = 56,142,268.09
  5. Step 5: Solve for x
    x = 56,142,268.09/10,846.68
  6. Step 6: Final answer
    x = 5,175.99

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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.