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Finding the Fourth Proportional to 8,202.54, 12,305.76 and 2,655.88

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Solution

The fourth proportional to 8,202.54, 12,305.76 and 2,655.88 is: 3,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.54 : 12,305.76 = 2,655.88 : x
  2. Step 2: Convert to fraction form
    8,202.54/12,305.76 = 2,655.88/x
  3. Step 3: Cross multiply
    8,202.54x = 12,305.76 × 2,655.88
  4. Step 4: Simplify right side
    8,202.54x = 32,682,581.14
  5. Step 5: Solve for x
    x = 32,682,581.14/8,202.54
  6. Step 6: Final answer
    x = 3,984.44

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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.