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Finding the Fourth Proportional to 8,205.44, 12,283.05 and 6,630.80

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Solution

The fourth proportional to 8,205.44, 12,283.05 and 6,630.80 is: 9,925.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.44 : 12,283.05 = 6,630.80 : x
  2. Step 2: Convert to fraction form
    8,205.44/12,283.05 = 6,630.80/x
  3. Step 3: Cross multiply
    8,205.44x = 12,283.05 × 6,630.80
  4. Step 4: Simplify right side
    8,205.44x = 81,446,447.94
  5. Step 5: Solve for x
    x = 81,446,447.94/8,205.44
  6. Step 6: Final answer
    x = 9,925.91

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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.