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Finding the Fourth Proportional to 11,761.96, 16,228.68 and 8,612.68

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Solution

The fourth proportional to 11,761.96, 16,228.68 and 8,612.68 is: 11,883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.96 : 16,228.68 = 8,612.68 : x
  2. Step 2: Convert to fraction form
    11,761.96/16,228.68 = 8,612.68/x
  3. Step 3: Cross multiply
    11,761.96x = 16,228.68 × 8,612.68
  4. Step 4: Simplify right side
    11,761.96x = 139,772,427.66
  5. Step 5: Solve for x
    x = 139,772,427.66/11,761.96
  6. Step 6: Final answer
    x = 11,883.43

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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.