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Finding the Fourth Proportional to 11,469.28, 15,830.97 and 7,491

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Solution

The fourth proportional to 11,469.28, 15,830.97 and 7,491 is: 10,339.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.28 : 15,830.97 = 7,491 : x
  2. Step 2: Convert to fraction form
    11,469.28/15,830.97 = 7,491/x
  3. Step 3: Cross multiply
    11,469.28x = 15,830.97 × 7,491
  4. Step 4: Simplify right side
    11,469.28x = 118,589,796.27
  5. Step 5: Solve for x
    x = 118,589,796.27/11,469.28
  6. Step 6: Final answer
    x = 10,339.78

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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.