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Finding the Fourth Proportional to 11,906.48, 16,428.84 and 7,187.60

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Solution

The fourth proportional to 11,906.48, 16,428.84 and 7,187.60 is: 9,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.48 : 16,428.84 = 7,187.60 : x
  2. Step 2: Convert to fraction form
    11,906.48/16,428.84 = 7,187.60/x
  3. Step 3: Cross multiply
    11,906.48x = 16,428.84 × 7,187.60
  4. Step 4: Simplify right side
    11,906.48x = 118,083,930.38
  5. Step 5: Solve for x
    x = 118,083,930.38/11,906.48
  6. Step 6: Final answer
    x = 9,917.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.