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Finding the Fourth Proportional to 11,785.96, 16,265.06 and 6,481.24

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Solution

The fourth proportional to 11,785.96, 16,265.06 and 6,481.24 is: 8,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.96 : 16,265.06 = 6,481.24 : x
  2. Step 2: Convert to fraction form
    11,785.96/16,265.06 = 6,481.24/x
  3. Step 3: Cross multiply
    11,785.96x = 16,265.06 × 6,481.24
  4. Step 4: Simplify right side
    11,785.96x = 105,417,757.47
  5. Step 5: Solve for x
    x = 105,417,757.47/11,785.96
  6. Step 6: Final answer
    x = 8,944.35

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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.