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Finding the Fourth Proportional to 11,887.24, 16,412.36 and 7,412.80

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Solution

The fourth proportional to 11,887.24, 16,412.36 and 7,412.80 is: 10,234.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.24 : 16,412.36 = 7,412.80 : x
  2. Step 2: Convert to fraction form
    11,887.24/16,412.36 = 7,412.80/x
  3. Step 3: Cross multiply
    11,887.24x = 16,412.36 × 7,412.80
  4. Step 4: Simplify right side
    11,887.24x = 121,661,542.21
  5. Step 5: Solve for x
    x = 121,661,542.21/11,887.24
  6. Step 6: Final answer
    x = 10,234.63

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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.