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Finding the Fourth Proportional to 8,205.98, 12,307.89 and 2,283.26

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Solution

The fourth proportional to 8,205.98, 12,307.89 and 2,283.26 is: 3,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.98 : 12,307.89 = 2,283.26 : x
  2. Step 2: Convert to fraction form
    8,205.98/12,307.89 = 2,283.26/x
  3. Step 3: Cross multiply
    8,205.98x = 12,307.89 × 2,283.26
  4. Step 4: Simplify right side
    8,205.98x = 28,102,112.92
  5. Step 5: Solve for x
    x = 28,102,112.92/8,205.98
  6. Step 6: Final answer
    x = 3,424.59

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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.