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Finding the Fourth Proportional to 11,651.49, 16,081.74 and 7,115.72

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Solution

The fourth proportional to 11,651.49, 16,081.74 and 7,115.72 is: 9,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.49 : 16,081.74 = 7,115.72 : x
  2. Step 2: Convert to fraction form
    11,651.49/16,081.74 = 7,115.72/x
  3. Step 3: Cross multiply
    11,651.49x = 16,081.74 × 7,115.72
  4. Step 4: Simplify right side
    11,651.49x = 114,433,078.54
  5. Step 5: Solve for x
    x = 114,433,078.54/11,651.49
  6. Step 6: Final answer
    x = 9,821.33

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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.