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Finding the Fourth Proportional to 8,726.26, 13,092.89 and 3,180

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Solution

The fourth proportional to 8,726.26, 13,092.89 and 3,180 is: 4,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,726.26 : 13,092.89 = 3,180 : x
  2. Step 2: Convert to fraction form
    8,726.26/13,092.89 = 3,180/x
  3. Step 3: Cross multiply
    8,726.26x = 13,092.89 × 3,180
  4. Step 4: Simplify right side
    8,726.26x = 41,635,390.20
  5. Step 5: Solve for x
    x = 41,635,390.20/8,726.26
  6. Step 6: Final answer
    x = 4,771.28

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