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Finding the Fourth Proportional to 8,533.12, 12,790.90 and 3,266.89

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Solution

The fourth proportional to 8,533.12, 12,790.90 and 3,266.89 is: 4,896.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.12 : 12,790.90 = 3,266.89 : x
  2. Step 2: Convert to fraction form
    8,533.12/12,790.90 = 3,266.89/x
  3. Step 3: Cross multiply
    8,533.12x = 12,790.90 × 3,266.89
  4. Step 4: Simplify right side
    8,533.12x = 41,786,446.97
  5. Step 5: Solve for x
    x = 41,786,446.97/8,533.12
  6. Step 6: Final answer
    x = 4,896.97

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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.