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Finding the Fourth Proportional to 8,203.44, 12,280.05 and 6,628.80

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Solution

The fourth proportional to 8,203.44, 12,280.05 and 6,628.80 is: 9,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.44 : 12,280.05 = 6,628.80 : x
  2. Step 2: Convert to fraction form
    8,203.44/12,280.05 = 6,628.80/x
  3. Step 3: Cross multiply
    8,203.44x = 12,280.05 × 6,628.80
  4. Step 4: Simplify right side
    8,203.44x = 81,401,995.44
  5. Step 5: Solve for x
    x = 81,401,995.44/8,203.44
  6. Step 6: Final answer
    x = 9,922.91

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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.