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Finding the Fourth Proportional to 11,469.56, 15,830.52 and 7,277

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Solution

The fourth proportional to 11,469.56, 15,830.52 and 7,277 is: 10,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,469.56 : 15,830.52 = 7,277 : x
  2. Step 2: Convert to fraction form
    11,469.56/15,830.52 = 7,277/x
  3. Step 3: Cross multiply
    11,469.56x = 15,830.52 × 7,277
  4. Step 4: Simplify right side
    11,469.56x = 115,198,694.04
  5. Step 5: Solve for x
    x = 115,198,694.04/11,469.56
  6. Step 6: Final answer
    x = 10,043.86

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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.