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Finding the Fourth Proportional to 8,455.75, 12,683.64 and 2,299.75

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Solution

The fourth proportional to 8,455.75, 12,683.64 and 2,299.75 is: 3,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.75 : 12,683.64 = 2,299.75 : x
  2. Step 2: Convert to fraction form
    8,455.75/12,683.64 = 2,299.75/x
  3. Step 3: Cross multiply
    8,455.75x = 12,683.64 × 2,299.75
  4. Step 4: Simplify right side
    8,455.75x = 29,169,201.09
  5. Step 5: Solve for x
    x = 29,169,201.09/8,455.75
  6. Step 6: Final answer
    x = 3,449.63

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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.