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Finding the Fourth Proportional to 11,785.85, 16,265.18 and 6,481.07

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Solution

The fourth proportional to 11,785.85, 16,265.18 and 6,481.07 is: 8,944.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.85 : 16,265.18 = 6,481.07 : x
  2. Step 2: Convert to fraction form
    11,785.85/16,265.18 = 6,481.07/x
  3. Step 3: Cross multiply
    11,785.85x = 16,265.18 × 6,481.07
  4. Step 4: Simplify right side
    11,785.85x = 105,415,737.74
  5. Step 5: Solve for x
    x = 105,415,737.74/11,785.85
  6. Step 6: Final answer
    x = 8,944.26

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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.