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Finding the Fourth Proportional to 11,824.25, 16,324.16 and 7,802.73

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Solution

The fourth proportional to 11,824.25, 16,324.16 and 7,802.73 is: 10,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824.25 : 16,324.16 = 7,802.73 : x
  2. Step 2: Convert to fraction form
    11,824.25/16,324.16 = 7,802.73/x
  3. Step 3: Cross multiply
    11,824.25x = 16,324.16 × 7,802.73
  4. Step 4: Simplify right side
    11,824.25x = 127,372,973.94
  5. Step 5: Solve for x
    x = 127,372,973.94/11,824.25
  6. Step 6: Final answer
    x = 10,772.19

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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.