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Finding the Fourth Proportional to 8,074.85, 12,112.25 and 2,231.45

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Solution

The fourth proportional to 8,074.85, 12,112.25 and 2,231.45 is: 3,347.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.85 : 12,112.25 = 2,231.45 : x
  2. Step 2: Convert to fraction form
    8,074.85/12,112.25 = 2,231.45/x
  3. Step 3: Cross multiply
    8,074.85x = 12,112.25 × 2,231.45
  4. Step 4: Simplify right side
    8,074.85x = 27,027,808.54
  5. Step 5: Solve for x
    x = 27,027,808.54/8,074.85
  6. Step 6: Final answer
    x = 3,347.16

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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.