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Finding the Fourth Proportional to 11,771.29, 16,235.85 and 7,462.90

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Solution

The fourth proportional to 11,771.29, 16,235.85 and 7,462.90 is: 10,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.29 : 16,235.85 = 7,462.90 : x
  2. Step 2: Convert to fraction form
    11,771.29/16,235.85 = 7,462.90/x
  3. Step 3: Cross multiply
    11,771.29x = 16,235.85 × 7,462.90
  4. Step 4: Simplify right side
    11,771.29x = 121,166,524.97
  5. Step 5: Solve for x
    x = 121,166,524.97/11,771.29
  6. Step 6: Final answer
    x = 10,293.39

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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.