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Finding the Fourth Proportional to 11,825.88, 16,326.28 and 8,636

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Solution

The fourth proportional to 11,825.88, 16,326.28 and 8,636 is: 11,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,825.88 : 16,326.28 = 8,636 : x
  2. Step 2: Convert to fraction form
    11,825.88/16,326.28 = 8,636/x
  3. Step 3: Cross multiply
    11,825.88x = 16,326.28 × 8,636
  4. Step 4: Simplify right side
    11,825.88x = 140,993,754.08
  5. Step 5: Solve for x
    x = 140,993,754.08/11,825.88
  6. Step 6: Final answer
    x = 11,922.47

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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.