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Finding the Fourth Proportional to 11,792.39, 16,296.83 and 9,664.56

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Solution

The fourth proportional to 11,792.39, 16,296.83 and 9,664.56 is: 13,356.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.39 : 16,296.83 = 9,664.56 : x
  2. Step 2: Convert to fraction form
    11,792.39/16,296.83 = 9,664.56/x
  3. Step 3: Cross multiply
    11,792.39x = 16,296.83 × 9,664.56
  4. Step 4: Simplify right side
    11,792.39x = 157,501,691.34
  5. Step 5: Solve for x
    x = 157,501,691.34/11,792.39
  6. Step 6: Final answer
    x = 13,356.21

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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.