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Finding the Fourth Proportional to 8,846.78, 12,205.25 and 5,261.87

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Solution

The fourth proportional to 8,846.78, 12,205.25 and 5,261.87 is: 7,259.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846.78 : 12,205.25 = 5,261.87 : x
  2. Step 2: Convert to fraction form
    8,846.78/12,205.25 = 5,261.87/x
  3. Step 3: Cross multiply
    8,846.78x = 12,205.25 × 5,261.87
  4. Step 4: Simplify right side
    8,846.78x = 64,222,469.05
  5. Step 5: Solve for x
    x = 64,222,469.05/8,846.78
  6. Step 6: Final answer
    x = 7,259.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.