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Finding the Fourth Proportional to 8,012.27, 12,021 and 3,852.60

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Solution

The fourth proportional to 8,012.27, 12,021 and 3,852.60 is: 5,780.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012.27 : 12,021 = 3,852.60 : x
  2. Step 2: Convert to fraction form
    8,012.27/12,021 = 3,852.60/x
  3. Step 3: Cross multiply
    8,012.27x = 12,021 × 3,852.60
  4. Step 4: Simplify right side
    8,012.27x = 46,312,104.60
  5. Step 5: Solve for x
    x = 46,312,104.60/8,012.27
  6. Step 6: Final answer
    x = 5,780.15

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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.