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Finding the Fourth Proportional to 8,255.45, 12,383.16 and 2,412.05

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Solution

The fourth proportional to 8,255.45, 12,383.16 and 2,412.05 is: 3,618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.45 : 12,383.16 = 2,412.05 : x
  2. Step 2: Convert to fraction form
    8,255.45/12,383.16 = 2,412.05/x
  3. Step 3: Cross multiply
    8,255.45x = 12,383.16 × 2,412.05
  4. Step 4: Simplify right side
    8,255.45x = 29,868,801.08
  5. Step 5: Solve for x
    x = 29,868,801.08/8,255.45
  6. Step 6: Final answer
    x = 3,618.07

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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.