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Finding the Fourth Proportional to 12,610.38, 18,909.69 and 3,843.42

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Solution

The fourth proportional to 12,610.38, 18,909.69 and 3,843.42 is: 5,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,610.38 : 18,909.69 = 3,843.42 : x
  2. Step 2: Convert to fraction form
    12,610.38/18,909.69 = 3,843.42/x
  3. Step 3: Cross multiply
    12,610.38x = 18,909.69 × 3,843.42
  4. Step 4: Simplify right side
    12,610.38x = 72,677,880.74
  5. Step 5: Solve for x
    x = 72,677,880.74/12,610.38
  6. Step 6: Final answer
    x = 5,763.34

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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.