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Finding the Fourth Proportional to 11,681.50, 17,522.26 and 3,890.92

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Solution

The fourth proportional to 11,681.50, 17,522.26 and 3,890.92 is: 5,836.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.50 : 17,522.26 = 3,890.92 : x
  2. Step 2: Convert to fraction form
    11,681.50/17,522.26 = 3,890.92/x
  3. Step 3: Cross multiply
    11,681.50x = 17,522.26 × 3,890.92
  4. Step 4: Simplify right side
    11,681.50x = 68,177,711.88
  5. Step 5: Solve for x
    x = 68,177,711.88/11,681.50
  6. Step 6: Final answer
    x = 5,836.38

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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.