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Finding the Fourth Proportional to 8,201.48, 12,299.48 and 2,653.32

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Solution

The fourth proportional to 8,201.48, 12,299.48 and 2,653.32 is: 3,979.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.48 : 12,299.48 = 2,653.32 : x
  2. Step 2: Convert to fraction form
    8,201.48/12,299.48 = 2,653.32/x
  3. Step 3: Cross multiply
    8,201.48x = 12,299.48 × 2,653.32
  4. Step 4: Simplify right side
    8,201.48x = 32,634,456.27
  5. Step 5: Solve for x
    x = 32,634,456.27/8,201.48
  6. Step 6: Final answer
    x = 3,979.09

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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.