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Finding the Fourth Proportional to 7,204.61, 10,806.55 and 2,822.87

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Solution

The fourth proportional to 7,204.61, 10,806.55 and 2,822.87 is: 4,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.61 : 10,806.55 = 2,822.87 : x
  2. Step 2: Convert to fraction form
    7,204.61/10,806.55 = 2,822.87/x
  3. Step 3: Cross multiply
    7,204.61x = 10,806.55 × 2,822.87
  4. Step 4: Simplify right side
    7,204.61x = 30,505,485.80
  5. Step 5: Solve for x
    x = 30,505,485.80/7,204.61
  6. Step 6: Final answer
    x = 4,234.16

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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.