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Finding the Fourth Proportional to 8,185.24, 12,283.11 and 8,155

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Solution

The fourth proportional to 8,185.24, 12,283.11 and 8,155 is: 12,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.24 : 12,283.11 = 8,155 : x
  2. Step 2: Convert to fraction form
    8,185.24/12,283.11 = 8,155/x
  3. Step 3: Cross multiply
    8,185.24x = 12,283.11 × 8,155
  4. Step 4: Simplify right side
    8,185.24x = 100,168,762.05
  5. Step 5: Solve for x
    x = 100,168,762.05/8,185.24
  6. Step 6: Final answer
    x = 12,237.73

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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.