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Finding the Fourth Proportional to 8,266.42, 12,399.54 and 3,335.97

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Solution

The fourth proportional to 8,266.42, 12,399.54 and 3,335.97 is: 5,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.42 : 12,399.54 = 3,335.97 : x
  2. Step 2: Convert to fraction form
    8,266.42/12,399.54 = 3,335.97/x
  3. Step 3: Cross multiply
    8,266.42x = 12,399.54 × 3,335.97
  4. Step 4: Simplify right side
    8,266.42x = 41,364,493.45
  5. Step 5: Solve for x
    x = 41,364,493.45/8,266.42
  6. Step 6: Final answer
    x = 5,003.92

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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.