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Finding the Fourth Proportional to 11,689.14, 16,130.76 and 6,383.98

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Solution

The fourth proportional to 11,689.14, 16,130.76 and 6,383.98 is: 8,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,689.14 : 16,130.76 = 6,383.98 : x
  2. Step 2: Convert to fraction form
    11,689.14/16,130.76 = 6,383.98/x
  3. Step 3: Cross multiply
    11,689.14x = 16,130.76 × 6,383.98
  4. Step 4: Simplify right side
    11,689.14x = 102,978,481.36
  5. Step 5: Solve for x
    x = 102,978,481.36/11,689.14
  6. Step 6: Final answer
    x = 8,809.75

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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.