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Finding the Fourth Proportional to 8,546.10, 12,809.10 and 3,860.64

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Solution

The fourth proportional to 8,546.10, 12,809.10 and 3,860.64 is: 5,786.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.10 : 12,809.10 = 3,860.64 : x
  2. Step 2: Convert to fraction form
    8,546.10/12,809.10 = 3,860.64/x
  3. Step 3: Cross multiply
    8,546.10x = 12,809.10 × 3,860.64
  4. Step 4: Simplify right side
    8,546.10x = 49,451,323.82
  5. Step 5: Solve for x
    x = 49,451,323.82/8,546.10
  6. Step 6: Final answer
    x = 5,786.42

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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.