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Finding the Fourth Proportional to 12,336.26, 17,025.90 and 7,862

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Solution

The fourth proportional to 12,336.26, 17,025.90 and 7,862 is: 10,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,336.26 : 17,025.90 = 7,862 : x
  2. Step 2: Convert to fraction form
    12,336.26/17,025.90 = 7,862/x
  3. Step 3: Cross multiply
    12,336.26x = 17,025.90 × 7,862
  4. Step 4: Simplify right side
    12,336.26x = 133,857,625.80
  5. Step 5: Solve for x
    x = 133,857,625.80/12,336.26
  6. Step 6: Final answer
    x = 10,850.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.