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Finding the Fourth Proportional to 11,696.09, 16,140.62 and 7,218.81

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Solution

The fourth proportional to 11,696.09, 16,140.62 and 7,218.81 is: 9,961.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.09 : 16,140.62 = 7,218.81 : x
  2. Step 2: Convert to fraction form
    11,696.09/16,140.62 = 7,218.81/x
  3. Step 3: Cross multiply
    11,696.09x = 16,140.62 × 7,218.81
  4. Step 4: Simplify right side
    11,696.09x = 116,516,032.97
  5. Step 5: Solve for x
    x = 116,516,032.97/11,696.09
  6. Step 6: Final answer
    x = 9,961.97

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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.