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Finding the Fourth Proportional to 11,656.41, 16,085.84 and 6,351.22

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Solution

The fourth proportional to 11,656.41, 16,085.84 and 6,351.22 is: 8,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.41 : 16,085.84 = 6,351.22 : x
  2. Step 2: Convert to fraction form
    11,656.41/16,085.84 = 6,351.22/x
  3. Step 3: Cross multiply
    11,656.41x = 16,085.84 × 6,351.22
  4. Step 4: Simplify right side
    11,656.41x = 102,164,755.42
  5. Step 5: Solve for x
    x = 102,164,755.42/11,656.41
  6. Step 6: Final answer
    x = 8,764.69

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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.