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Finding the Fourth Proportional to 11,382.44, 17,073.05 and 4,365.82

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Solution

The fourth proportional to 11,382.44, 17,073.05 and 4,365.82 is: 6,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.44 : 17,073.05 = 4,365.82 : x
  2. Step 2: Convert to fraction form
    11,382.44/17,073.05 = 4,365.82/x
  3. Step 3: Cross multiply
    11,382.44x = 17,073.05 × 4,365.82
  4. Step 4: Simplify right side
    11,382.44x = 74,537,755.96
  5. Step 5: Solve for x
    x = 74,537,755.96/11,382.44
  6. Step 6: Final answer
    x = 6,548.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.