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Finding the Fourth Proportional to 11,686.26, 16,126.86 and 6,380.97

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Solution

The fourth proportional to 11,686.26, 16,126.86 and 6,380.97 is: 8,805.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.26 : 16,126.86 = 6,380.97 : x
  2. Step 2: Convert to fraction form
    11,686.26/16,126.86 = 6,380.97/x
  3. Step 3: Cross multiply
    11,686.26x = 16,126.86 × 6,380.97
  4. Step 4: Simplify right side
    11,686.26x = 102,905,009.85
  5. Step 5: Solve for x
    x = 102,905,009.85/11,686.26
  6. Step 6: Final answer
    x = 8,805.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.