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Finding the Fourth Proportional to 11,649.99, 16,079.67 and 7,114.22

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Solution

The fourth proportional to 11,649.99, 16,079.67 and 7,114.22 is: 9,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.99 : 16,079.67 = 7,114.22 : x
  2. Step 2: Convert to fraction form
    11,649.99/16,079.67 = 7,114.22/x
  3. Step 3: Cross multiply
    11,649.99x = 16,079.67 × 7,114.22
  4. Step 4: Simplify right side
    11,649.99x = 114,394,229.51
  5. Step 5: Solve for x
    x = 114,394,229.51/11,649.99
  6. Step 6: Final answer
    x = 9,819.26

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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.