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Finding the Fourth Proportional to 11,065.68, 16,602 and 3,274.56

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Solution

The fourth proportional to 11,065.68, 16,602 and 3,274.56 is: 4,912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.68 : 16,602 = 3,274.56 : x
  2. Step 2: Convert to fraction form
    11,065.68/16,602 = 3,274.56/x
  3. Step 3: Cross multiply
    11,065.68x = 16,602 × 3,274.56
  4. Step 4: Simplify right side
    11,065.68x = 54,364,245.12
  5. Step 5: Solve for x
    x = 54,364,245.12/11,065.68
  6. Step 6: Final answer
    x = 4,912.87

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Why These Related Problems?

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