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Finding the Fourth Proportional to 8,726.67, 13,093.50 and 3,180.42

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Solution

The fourth proportional to 8,726.67, 13,093.50 and 3,180.42 is: 4,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.67 : 13,093.50 = 3,180.42 : x
  2. Step 2: Convert to fraction form
    8,726.67/13,093.50 = 3,180.42/x
  3. Step 3: Cross multiply
    8,726.67x = 13,093.50 × 3,180.42
  4. Step 4: Simplify right side
    8,726.67x = 41,642,829.27
  5. Step 5: Solve for x
    x = 41,642,829.27/8,726.67
  6. Step 6: Final answer
    x = 4,771.90

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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.