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Finding the Fourth Proportional to 11,691.69, 16,129.43 and 7,913.50

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Solution

The fourth proportional to 11,691.69, 16,129.43 and 7,913.50 is: 10,917.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691.69 : 16,129.43 = 7,913.50 : x
  2. Step 2: Convert to fraction form
    11,691.69/16,129.43 = 7,913.50/x
  3. Step 3: Cross multiply
    11,691.69x = 16,129.43 × 7,913.50
  4. Step 4: Simplify right side
    11,691.69x = 127,640,194.09
  5. Step 5: Solve for x
    x = 127,640,194.09/11,691.69
  6. Step 6: Final answer
    x = 10,917.17

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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.