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Finding the Fourth Proportional to 12,883.25, 19,322.60 and 5,861.62

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Solution

The fourth proportional to 12,883.25, 19,322.60 and 5,861.62 is: 8,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.25 : 19,322.60 = 5,861.62 : x
  2. Step 2: Convert to fraction form
    12,883.25/19,322.60 = 5,861.62/x
  3. Step 3: Cross multiply
    12,883.25x = 19,322.60 × 5,861.62
  4. Step 4: Simplify right side
    12,883.25x = 113,261,657.74
  5. Step 5: Solve for x
    x = 113,261,657.74/12,883.25
  6. Step 6: Final answer
    x = 8,791.39

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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.