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Finding the Fourth Proportional to 10,942.58, 16,411.47 and 3,149.70

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Solution

The fourth proportional to 10,942.58, 16,411.47 and 3,149.70 is: 4,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942.58 : 16,411.47 = 3,149.70 : x
  2. Step 2: Convert to fraction form
    10,942.58/16,411.47 = 3,149.70/x
  3. Step 3: Cross multiply
    10,942.58x = 16,411.47 × 3,149.70
  4. Step 4: Simplify right side
    10,942.58x = 51,691,207.06
  5. Step 5: Solve for x
    x = 51,691,207.06/10,942.58
  6. Step 6: Final answer
    x = 4,723.86

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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.