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Finding the Fourth Proportional to 10,755.44, 16,041.22 and 9,447.82

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Solution

The fourth proportional to 10,755.44, 16,041.22 and 9,447.82 is: 14,090.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,755.44 : 16,041.22 = 9,447.82 : x
  2. Step 2: Convert to fraction form
    10,755.44/16,041.22 = 9,447.82/x
  3. Step 3: Cross multiply
    10,755.44x = 16,041.22 × 9,447.82
  4. Step 4: Simplify right side
    10,755.44x = 151,554,559.14
  5. Step 5: Solve for x
    x = 151,554,559.14/10,755.44
  6. Step 6: Final answer
    x = 14,090.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.