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Finding the Fourth Proportional to 11,702.89, 17,556.77 and 3,911.50

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Solution

The fourth proportional to 11,702.89, 17,556.77 and 3,911.50 is: 5,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.89 : 17,556.77 = 3,911.50 : x
  2. Step 2: Convert to fraction form
    11,702.89/17,556.77 = 3,911.50/x
  3. Step 3: Cross multiply
    11,702.89x = 17,556.77 × 3,911.50
  4. Step 4: Simplify right side
    11,702.89x = 68,673,305.86
  5. Step 5: Solve for x
    x = 68,673,305.86/11,702.89
  6. Step 6: Final answer
    x = 5,868.06

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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.