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Finding the Fourth Proportional to 11,650.66, 17,465.50 and 4,249.96

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Solution

The fourth proportional to 11,650.66, 17,465.50 and 4,249.96 is: 6,371.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.66 : 17,465.50 = 4,249.96 : x
  2. Step 2: Convert to fraction form
    11,650.66/17,465.50 = 4,249.96/x
  3. Step 3: Cross multiply
    11,650.66x = 17,465.50 × 4,249.96
  4. Step 4: Simplify right side
    11,650.66x = 74,227,676.38
  5. Step 5: Solve for x
    x = 74,227,676.38/11,650.66
  6. Step 6: Final answer
    x = 6,371.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.