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Finding the Fourth Proportional to 8,196.63, 12,294.95 and 2,040.63

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Solution

The fourth proportional to 8,196.63, 12,294.95 and 2,040.63 is: 3,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.63 : 12,294.95 = 2,040.63 : x
  2. Step 2: Convert to fraction form
    8,196.63/12,294.95 = 2,040.63/x
  3. Step 3: Cross multiply
    8,196.63x = 12,294.95 × 2,040.63
  4. Step 4: Simplify right side
    8,196.63x = 25,089,443.82
  5. Step 5: Solve for x
    x = 25,089,443.82/8,196.63
  6. Step 6: Final answer
    x = 3,060.95

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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.