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Finding the Fourth Proportional to 10,857.88, 16,289.22 and 6,180.09

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Solution

The fourth proportional to 10,857.88, 16,289.22 and 6,180.09 is: 9,271.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.88 : 16,289.22 = 6,180.09 : x
  2. Step 2: Convert to fraction form
    10,857.88/16,289.22 = 6,180.09/x
  3. Step 3: Cross multiply
    10,857.88x = 16,289.22 × 6,180.09
  4. Step 4: Simplify right side
    10,857.88x = 100,668,855.45
  5. Step 5: Solve for x
    x = 100,668,855.45/10,857.88
  6. Step 6: Final answer
    x = 9,271.50

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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.