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Finding the Fourth Proportional to 11,682.35, 16,121.03 and 6,377.07

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Solution

The fourth proportional to 11,682.35, 16,121.03 and 6,377.07 is: 8,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.35 : 16,121.03 = 6,377.07 : x
  2. Step 2: Convert to fraction form
    11,682.35/16,121.03 = 6,377.07/x
  3. Step 3: Cross multiply
    11,682.35x = 16,121.03 × 6,377.07
  4. Step 4: Simplify right side
    11,682.35x = 102,804,904.90
  5. Step 5: Solve for x
    x = 102,804,904.90/11,682.35
  6. Step 6: Final answer
    x = 8,800.02

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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.