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Finding the Fourth Proportional to 8,546.83, 12,820.58 and 3,284.39

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Solution

The fourth proportional to 8,546.83, 12,820.58 and 3,284.39 is: 4,926.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.83 : 12,820.58 = 3,284.39 : x
  2. Step 2: Convert to fraction form
    8,546.83/12,820.58 = 3,284.39/x
  3. Step 3: Cross multiply
    8,546.83x = 12,820.58 × 3,284.39
  4. Step 4: Simplify right side
    8,546.83x = 42,107,768.32
  5. Step 5: Solve for x
    x = 42,107,768.32/8,546.83
  6. Step 6: Final answer
    x = 4,926.71

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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.