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Finding the Fourth Proportional to 12,611.21, 18,920.46 and 5,214.29

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Solution

The fourth proportional to 12,611.21, 18,920.46 and 5,214.29 is: 7,822.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611.21 : 18,920.46 = 5,214.29 : x
  2. Step 2: Convert to fraction form
    12,611.21/18,920.46 = 5,214.29/x
  3. Step 3: Cross multiply
    12,611.21x = 18,920.46 × 5,214.29
  4. Step 4: Simplify right side
    12,611.21x = 98,656,765.37
  5. Step 5: Solve for x
    x = 98,656,765.37/12,611.21
  6. Step 6: Final answer
    x = 7,822.94

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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.