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Finding the Fourth Proportional to 8,032.98, 12,049.44 and 2,189.58

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Solution

The fourth proportional to 8,032.98, 12,049.44 and 2,189.58 is: 3,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.98 : 12,049.44 = 2,189.58 : x
  2. Step 2: Convert to fraction form
    8,032.98/12,049.44 = 2,189.58/x
  3. Step 3: Cross multiply
    8,032.98x = 12,049.44 × 2,189.58
  4. Step 4: Simplify right side
    8,032.98x = 26,383,212.84
  5. Step 5: Solve for x
    x = 26,383,212.84/8,032.98
  6. Step 6: Final answer
    x = 3,284.36

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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.