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Finding the Fourth Proportional to 10,816.09, 16,201.43 and 6,865.32

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Solution

The fourth proportional to 10,816.09, 16,201.43 and 6,865.32 is: 10,283.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,816.09 : 16,201.43 = 6,865.32 : x
  2. Step 2: Convert to fraction form
    10,816.09/16,201.43 = 6,865.32/x
  3. Step 3: Cross multiply
    10,816.09x = 16,201.43 × 6,865.32
  4. Step 4: Simplify right side
    10,816.09x = 111,227,957.82
  5. Step 5: Solve for x
    x = 111,227,957.82/10,816.09
  6. Step 6: Final answer
    x = 10,283.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.