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Finding the Fourth Proportional to 12,191.37, 16,818.29 and 7,940.90

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Solution

The fourth proportional to 12,191.37, 16,818.29 and 7,940.90 is: 10,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.37 : 16,818.29 = 7,940.90 : x
  2. Step 2: Convert to fraction form
    12,191.37/16,818.29 = 7,940.90/x
  3. Step 3: Cross multiply
    12,191.37x = 16,818.29 × 7,940.90
  4. Step 4: Simplify right side
    12,191.37x = 133,552,235.27
  5. Step 5: Solve for x
    x = 133,552,235.27/12,191.37
  6. Step 6: Final answer
    x = 10,954.65

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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.