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Finding the Fourth Proportional to 10,614.73, 15,922.03 and 2,717.23

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Solution

The fourth proportional to 10,614.73, 15,922.03 and 2,717.23 is: 4,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.73 : 15,922.03 = 2,717.23 : x
  2. Step 2: Convert to fraction form
    10,614.73/15,922.03 = 2,717.23/x
  3. Step 3: Cross multiply
    10,614.73x = 15,922.03 × 2,717.23
  4. Step 4: Simplify right side
    10,614.73x = 43,263,770.98
  5. Step 5: Solve for x
    x = 43,263,770.98/10,614.73
  6. Step 6: Final answer
    x = 4,075.82

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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.