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Finding the Fourth Proportional to 11,650.99, 16,081.05 and 7,115.22

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Solution

The fourth proportional to 11,650.99, 16,081.05 and 7,115.22 is: 9,820.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.99 : 16,081.05 = 7,115.22 : x
  2. Step 2: Convert to fraction form
    11,650.99/16,081.05 = 7,115.22/x
  3. Step 3: Cross multiply
    11,650.99x = 16,081.05 × 7,115.22
  4. Step 4: Simplify right side
    11,650.99x = 114,420,208.58
  5. Step 5: Solve for x
    x = 114,420,208.58/11,650.99
  6. Step 6: Final answer
    x = 9,820.64

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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.