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Finding the Fourth Proportional to 8,182.56, 12,273.96 and 2,988.96

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Solution

The fourth proportional to 8,182.56, 12,273.96 and 2,988.96 is: 4,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.56 : 12,273.96 = 2,988.96 : x
  2. Step 2: Convert to fraction form
    8,182.56/12,273.96 = 2,988.96/x
  3. Step 3: Cross multiply
    8,182.56x = 12,273.96 × 2,988.96
  4. Step 4: Simplify right side
    8,182.56x = 36,686,375.48
  5. Step 5: Solve for x
    x = 36,686,375.48/8,182.56
  6. Step 6: Final answer
    x = 4,483.48

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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.