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Finding the Fourth Proportional to 11,688.21, 16,129.64 and 6,383.03

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Solution

The fourth proportional to 11,688.21, 16,129.64 and 6,383.03 is: 8,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.21 : 16,129.64 = 6,383.03 : x
  2. Step 2: Convert to fraction form
    11,688.21/16,129.64 = 6,383.03/x
  3. Step 3: Cross multiply
    11,688.21x = 16,129.64 × 6,383.03
  4. Step 4: Simplify right side
    11,688.21x = 102,955,863.45
  5. Step 5: Solve for x
    x = 102,955,863.45/11,688.21
  6. Step 6: Final answer
    x = 8,808.52

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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.