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Finding the Fourth Proportional to 12,106.68, 16,709.94 and 7,912.56

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Solution

The fourth proportional to 12,106.68, 16,709.94 and 7,912.56 is: 10,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.68 : 16,709.94 = 7,912.56 : x
  2. Step 2: Convert to fraction form
    12,106.68/16,709.94 = 7,912.56/x
  3. Step 3: Cross multiply
    12,106.68x = 16,709.94 × 7,912.56
  4. Step 4: Simplify right side
    12,106.68x = 132,218,402.85
  5. Step 5: Solve for x
    x = 132,218,402.85/12,106.68
  6. Step 6: Final answer
    x = 10,921.11

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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.