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Finding the Fourth Proportional to 10,375.99, 15,563.99 and 2,584.80

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Solution

The fourth proportional to 10,375.99, 15,563.99 and 2,584.80 is: 3,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.99 : 15,563.99 = 2,584.80 : x
  2. Step 2: Convert to fraction form
    10,375.99/15,563.99 = 2,584.80/x
  3. Step 3: Cross multiply
    10,375.99x = 15,563.99 × 2,584.80
  4. Step 4: Simplify right side
    10,375.99x = 40,229,801.35
  5. Step 5: Solve for x
    x = 40,229,801.35/10,375.99
  6. Step 6: Final answer
    x = 3,877.20

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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.