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Finding the Fourth Proportional to 7,222.86, 10,833.08 and 2,841.57

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Solution

The fourth proportional to 7,222.86, 10,833.08 and 2,841.57 is: 4,261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,222.86 : 10,833.08 = 2,841.57 : x
  2. Step 2: Convert to fraction form
    7,222.86/10,833.08 = 2,841.57/x
  3. Step 3: Cross multiply
    7,222.86x = 10,833.08 × 2,841.57
  4. Step 4: Simplify right side
    7,222.86x = 30,782,940.93
  5. Step 5: Solve for x
    x = 30,782,940.93/7,222.86
  6. Step 6: Final answer
    x = 4,261.88

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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.