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Finding the Fourth Proportional to 8,226.06, 12,335.85 and 4,765.74

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Solution

The fourth proportional to 8,226.06, 12,335.85 and 4,765.74 is: 7,146.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.06 : 12,335.85 = 4,765.74 : x
  2. Step 2: Convert to fraction form
    8,226.06/12,335.85 = 4,765.74/x
  3. Step 3: Cross multiply
    8,226.06x = 12,335.85 × 4,765.74
  4. Step 4: Simplify right side
    8,226.06x = 58,789,453.78
  5. Step 5: Solve for x
    x = 58,789,453.78/8,226.06
  6. Step 6: Final answer
    x = 7,146.73

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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.