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Finding the Fourth Proportional to 11,906.49, 16,431.89 and 6,602.34

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Solution

The fourth proportional to 11,906.49, 16,431.89 and 6,602.34 is: 9,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.49 : 16,431.89 = 6,602.34 : x
  2. Step 2: Convert to fraction form
    11,906.49/16,431.89 = 6,602.34/x
  3. Step 3: Cross multiply
    11,906.49x = 16,431.89 × 6,602.34
  4. Step 4: Simplify right side
    11,906.49x = 108,488,891.61
  5. Step 5: Solve for x
    x = 108,488,891.61/11,906.49
  6. Step 6: Final answer
    x = 9,111.74

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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.