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Finding the Fourth Proportional to 8,438.90, 12,659.07 and 2,199.74

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Solution

The fourth proportional to 8,438.90, 12,659.07 and 2,199.74 is: 3,299.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.90 : 12,659.07 = 2,199.74 : x
  2. Step 2: Convert to fraction form
    8,438.90/12,659.07 = 2,199.74/x
  3. Step 3: Cross multiply
    8,438.90x = 12,659.07 × 2,199.74
  4. Step 4: Simplify right side
    8,438.90x = 27,846,662.64
  5. Step 5: Solve for x
    x = 27,846,662.64/8,438.90
  6. Step 6: Final answer
    x = 3,299.80

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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.