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Finding the Fourth Proportional to 11,668.20, 16,117.48 and 8,649.44

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Solution

The fourth proportional to 11,668.20, 16,117.48 and 8,649.44 is: 11,947.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.20 : 16,117.48 = 8,649.44 : x
  2. Step 2: Convert to fraction form
    11,668.20/16,117.48 = 8,649.44/x
  3. Step 3: Cross multiply
    11,668.20x = 16,117.48 × 8,649.44
  4. Step 4: Simplify right side
    11,668.20x = 139,407,176.21
  5. Step 5: Solve for x
    x = 139,407,176.21/11,668.20
  6. Step 6: Final answer
    x = 11,947.62

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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.