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Finding the Fourth Proportional to 8,182.08, 12,273.12 and 2,993.76

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Solution

The fourth proportional to 8,182.08, 12,273.12 and 2,993.76 is: 4,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.08 : 12,273.12 = 2,993.76 : x
  2. Step 2: Convert to fraction form
    8,182.08/12,273.12 = 2,993.76/x
  3. Step 3: Cross multiply
    8,182.08x = 12,273.12 × 2,993.76
  4. Step 4: Simplify right side
    8,182.08x = 36,742,775.73
  5. Step 5: Solve for x
    x = 36,742,775.73/8,182.08
  6. Step 6: Final answer
    x = 4,490.64

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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.