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Finding the Fourth Proportional to 11,614.32, 17,425.80 and 5,454

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Solution

The fourth proportional to 11,614.32, 17,425.80 and 5,454 is: 8,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.32 : 17,425.80 = 5,454 : x
  2. Step 2: Convert to fraction form
    11,614.32/17,425.80 = 5,454/x
  3. Step 3: Cross multiply
    11,614.32x = 17,425.80 × 5,454
  4. Step 4: Simplify right side
    11,614.32x = 95,040,313.20
  5. Step 5: Solve for x
    x = 95,040,313.20/11,614.32
  6. Step 6: Final answer
    x = 8,183.03

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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.