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Finding the Fourth Proportional to 10,942.60, 16,410.06 and 3,149.32

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Solution

The fourth proportional to 10,942.60, 16,410.06 and 3,149.32 is: 4,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.60 : 16,410.06 = 3,149.32 : x
  2. Step 2: Convert to fraction form
    10,942.60/16,410.06 = 3,149.32/x
  3. Step 3: Cross multiply
    10,942.60x = 16,410.06 × 3,149.32
  4. Step 4: Simplify right side
    10,942.60x = 51,680,530.16
  5. Step 5: Solve for x
    x = 51,680,530.16/10,942.60
  6. Step 6: Final answer
    x = 4,722.87

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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.