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Finding the Fourth Proportional to 7,897.73, 11,850.71 and 3,221.19

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Solution

The fourth proportional to 7,897.73, 11,850.71 and 3,221.19 is: 4,833.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.73 : 11,850.71 = 3,221.19 : x
  2. Step 2: Convert to fraction form
    7,897.73/11,850.71 = 3,221.19/x
  3. Step 3: Cross multiply
    7,897.73x = 11,850.71 × 3,221.19
  4. Step 4: Simplify right side
    7,897.73x = 38,173,372.44
  5. Step 5: Solve for x
    x = 38,173,372.44/7,897.73
  6. Step 6: Final answer
    x = 4,833.46

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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.