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Finding the Fourth Proportional to 11,571.50, 17,357.30 and 2,806.43

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Solution

The fourth proportional to 11,571.50, 17,357.30 and 2,806.43 is: 4,209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.50 : 17,357.30 = 2,806.43 : x
  2. Step 2: Convert to fraction form
    11,571.50/17,357.30 = 2,806.43/x
  3. Step 3: Cross multiply
    11,571.50x = 17,357.30 × 2,806.43
  4. Step 4: Simplify right side
    11,571.50x = 48,712,047.44
  5. Step 5: Solve for x
    x = 48,712,047.44/11,571.50
  6. Step 6: Final answer
    x = 4,209.66

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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.