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Finding the Fourth Proportional to 8,401, 12,584.70 and 5,112.04

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Solution

The fourth proportional to 8,401, 12,584.70 and 5,112.04 is: 7,657.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401 : 12,584.70 = 5,112.04 : x
  2. Step 2: Convert to fraction form
    8,401/12,584.70 = 5,112.04/x
  3. Step 3: Cross multiply
    8,401x = 12,584.70 × 5,112.04
  4. Step 4: Simplify right side
    8,401x = 64,333,489.79
  5. Step 5: Solve for x
    x = 64,333,489.79/8,401
  6. Step 6: Final answer
    x = 7,657.84

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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.