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Finding the Fourth Proportional to 11,549.54, 15,942.47 and 6,833.81

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Solution

The fourth proportional to 11,549.54, 15,942.47 and 6,833.81 is: 9,433.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.54 : 15,942.47 = 6,833.81 : x
  2. Step 2: Convert to fraction form
    11,549.54/15,942.47 = 6,833.81/x
  3. Step 3: Cross multiply
    11,549.54x = 15,942.47 × 6,833.81
  4. Step 4: Simplify right side
    11,549.54x = 108,947,816.60
  5. Step 5: Solve for x
    x = 108,947,816.60/11,549.54
  6. Step 6: Final answer
    x = 9,433.09

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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.