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Finding the Fourth Proportional to 10,614.72, 15,922.03 and 2,717.22

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Solution

The fourth proportional to 10,614.72, 15,922.03 and 2,717.22 is: 4,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,614.72 : 15,922.03 = 2,717.22 : x
  2. Step 2: Convert to fraction form
    10,614.72/15,922.03 = 2,717.22/x
  3. Step 3: Cross multiply
    10,614.72x = 15,922.03 × 2,717.22
  4. Step 4: Simplify right side
    10,614.72x = 43,263,711.27
  5. Step 5: Solve for x
    x = 43,263,711.27/10,614.72
  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.