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Finding the Fourth Proportional to 11,933.49, 16,466.94 and 6,897.31

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Solution

The fourth proportional to 11,933.49, 16,466.94 and 6,897.31 is: 9,517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.49 : 16,466.94 = 6,897.31 : x
  2. Step 2: Convert to fraction form
    11,933.49/16,466.94 = 6,897.31/x
  3. Step 3: Cross multiply
    11,933.49x = 16,466.94 × 6,897.31
  4. Step 4: Simplify right side
    11,933.49x = 113,577,589.93
  5. Step 5: Solve for x
    x = 113,577,589.93/11,933.49
  6. Step 6: Final answer
    x = 9,517.55

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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.