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Finding the Fourth Proportional to 11,444.82, 17,161.94 and 5,204.58

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Solution

The fourth proportional to 11,444.82, 17,161.94 and 5,204.58 is: 7,804.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.82 : 17,161.94 = 5,204.58 : x
  2. Step 2: Convert to fraction form
    11,444.82/17,161.94 = 5,204.58/x
  3. Step 3: Cross multiply
    11,444.82x = 17,161.94 × 5,204.58
  4. Step 4: Simplify right side
    11,444.82x = 89,320,689.69
  5. Step 5: Solve for x
    x = 89,320,689.69/11,444.82
  6. Step 6: Final answer
    x = 7,804.46

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