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Finding the Fourth Proportional to 11,696.48, 16,140.94 and 6,391.16

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Solution

The fourth proportional to 11,696.48, 16,140.94 and 6,391.16 is: 8,819.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,696.48 : 16,140.94 = 6,391.16 : x
  2. Step 2: Convert to fraction form
    11,696.48/16,140.94 = 6,391.16/x
  3. Step 3: Cross multiply
    11,696.48x = 16,140.94 × 6,391.16
  4. Step 4: Simplify right side
    11,696.48x = 103,159,330.09
  5. Step 5: Solve for x
    x = 103,159,330.09/11,696.48
  6. Step 6: Final answer
    x = 8,819.69

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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.