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Finding the Fourth Proportional to 11,651.88, 17,480.34 and 4,256.42

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Solution

The fourth proportional to 11,651.88, 17,480.34 and 4,256.42 is: 6,385.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.88 : 17,480.34 = 4,256.42 : x
  2. Step 2: Convert to fraction form
    11,651.88/17,480.34 = 4,256.42/x
  3. Step 3: Cross multiply
    11,651.88x = 17,480.34 × 4,256.42
  4. Step 4: Simplify right side
    11,651.88x = 74,403,581.38
  5. Step 5: Solve for x
    x = 74,403,581.38/11,651.88
  6. Step 6: Final answer
    x = 6,385.54

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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.