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Finding the Fourth Proportional to 11,661.09, 16,098.47 and 9,367.58

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Solution

The fourth proportional to 11,661.09, 16,098.47 and 9,367.58 is: 12,932.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.09 : 16,098.47 = 9,367.58 : x
  2. Step 2: Convert to fraction form
    11,661.09/16,098.47 = 9,367.58/x
  3. Step 3: Cross multiply
    11,661.09x = 16,098.47 × 9,367.58
  4. Step 4: Simplify right side
    11,661.09x = 150,803,578.27
  5. Step 5: Solve for x
    x = 150,803,578.27/11,661.09
  6. Step 6: Final answer
    x = 12,932.20

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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.