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Finding the Fourth Proportional to 7,204.55, 10,806.84 and 2,823.26

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Solution

The fourth proportional to 7,204.55, 10,806.84 and 2,823.26 is: 4,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.55 : 10,806.84 = 2,823.26 : x
  2. Step 2: Convert to fraction form
    7,204.55/10,806.84 = 2,823.26/x
  3. Step 3: Cross multiply
    7,204.55x = 10,806.84 × 2,823.26
  4. Step 4: Simplify right side
    7,204.55x = 30,510,465.06
  5. Step 5: Solve for x
    x = 30,510,465.06/7,204.55
  6. Step 6: Final answer
    x = 4,234.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.