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Finding the Fourth Proportional to 8,546.14, 12,820.01 and 3,207.89

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Solution

The fourth proportional to 8,546.14, 12,820.01 and 3,207.89 is: 4,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,546.14 : 12,820.01 = 3,207.89 : x
  2. Step 2: Convert to fraction form
    8,546.14/12,820.01 = 3,207.89/x
  3. Step 3: Cross multiply
    8,546.14x = 12,820.01 × 3,207.89
  4. Step 4: Simplify right side
    8,546.14x = 41,125,181.88
  5. Step 5: Solve for x
    x = 41,125,181.88/8,546.14
  6. Step 6: Final answer
    x = 4,812.14

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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.