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Finding the Fourth Proportional to 6,902.94, 10,356.41 and 2,222.83

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Solution

The fourth proportional to 6,902.94, 10,356.41 and 2,222.83 is: 3,334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.94 : 10,356.41 = 2,222.83 : x
  2. Step 2: Convert to fraction form
    6,902.94/10,356.41 = 2,222.83/x
  3. Step 3: Cross multiply
    6,902.94x = 10,356.41 × 2,222.83
  4. Step 4: Simplify right side
    6,902.94x = 23,020,538.84
  5. Step 5: Solve for x
    x = 23,020,538.84/6,902.94
  6. Step 6: Final answer
    x = 3,334.89

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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.