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Finding the Fourth Proportional to 11,689.78, 16,121.21 and 9,137.88

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Solution

The fourth proportional to 11,689.78, 16,121.21 and 9,137.88 is: 12,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.78 : 16,121.21 = 9,137.88 : x
  2. Step 2: Convert to fraction form
    11,689.78/16,121.21 = 9,137.88/x
  3. Step 3: Cross multiply
    11,689.78x = 16,121.21 × 9,137.88
  4. Step 4: Simplify right side
    11,689.78x = 147,313,682.43
  5. Step 5: Solve for x
    x = 147,313,682.43/11,689.78
  6. Step 6: Final answer
    x = 12,601.92

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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.