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Finding the Fourth Proportional to 10,825.38, 14,936.44 and 7,467.12

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Solution

The fourth proportional to 10,825.38, 14,936.44 and 7,467.12 is: 10,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.38 : 14,936.44 = 7,467.12 : x
  2. Step 2: Convert to fraction form
    10,825.38/14,936.44 = 7,467.12/x
  3. Step 3: Cross multiply
    10,825.38x = 14,936.44 × 7,467.12
  4. Step 4: Simplify right side
    10,825.38x = 111,532,189.85
  5. Step 5: Solve for x
    x = 111,532,189.85/10,825.38
  6. Step 6: Final answer
    x = 10,302.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.