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Finding the Fourth Proportional to 11,897.94, 17,846.23 and 3,577.79

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Solution

The fourth proportional to 11,897.94, 17,846.23 and 3,577.79 is: 5,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.94 : 17,846.23 = 3,577.79 : x
  2. Step 2: Convert to fraction form
    11,897.94/17,846.23 = 3,577.79/x
  3. Step 3: Cross multiply
    11,897.94x = 17,846.23 × 3,577.79
  4. Step 4: Simplify right side
    11,897.94x = 63,850,063.23
  5. Step 5: Solve for x
    x = 63,850,063.23/11,897.94
  6. Step 6: Final answer
    x = 5,366.48

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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.