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Finding the Fourth Proportional to 6,942.34, 10,415.02 and 2,012.18

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Solution

The fourth proportional to 6,942.34, 10,415.02 and 2,012.18 is: 3,018.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.34 : 10,415.02 = 2,012.18 : x
  2. Step 2: Convert to fraction form
    6,942.34/10,415.02 = 2,012.18/x
  3. Step 3: Cross multiply
    6,942.34x = 10,415.02 × 2,012.18
  4. Step 4: Simplify right side
    6,942.34x = 20,956,894.94
  5. Step 5: Solve for x
    x = 20,956,894.94/6,942.34
  6. Step 6: Final answer
    x = 3,018.71

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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.