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Finding the Fourth Proportional to 8,204.70, 12,307.05 and 3,822.60

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Solution

The fourth proportional to 8,204.70, 12,307.05 and 3,822.60 is: 5,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.70 : 12,307.05 = 3,822.60 : x
  2. Step 2: Convert to fraction form
    8,204.70/12,307.05 = 3,822.60/x
  3. Step 3: Cross multiply
    8,204.70x = 12,307.05 × 3,822.60
  4. Step 4: Simplify right side
    8,204.70x = 47,044,929.33
  5. Step 5: Solve for x
    x = 47,044,929.33/8,204.70
  6. Step 6: Final answer
    x = 5,733.90

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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.