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Finding the Fourth Proportional to 8,155.13, 11,169.74 and 7,676.37

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Solution

The fourth proportional to 8,155.13, 11,169.74 and 7,676.37 is: 10,514.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,155.13 : 11,169.74 = 7,676.37 : x
  2. Step 2: Convert to fraction form
    8,155.13/11,169.74 = 7,676.37/x
  3. Step 3: Cross multiply
    8,155.13x = 11,169.74 × 7,676.37
  4. Step 4: Simplify right side
    8,155.13x = 85,743,076.23
  5. Step 5: Solve for x
    x = 85,743,076.23/8,155.13
  6. Step 6: Final answer
    x = 10,514.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.