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Finding the Fourth Proportional to 11,444.73, 15,793.25 and 6,409.23

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Solution

The fourth proportional to 11,444.73, 15,793.25 and 6,409.23 is: 8,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,444.73 : 15,793.25 = 6,409.23 : x
  2. Step 2: Convert to fraction form
    11,444.73/15,793.25 = 6,409.23/x
  3. Step 3: Cross multiply
    11,444.73x = 15,793.25 × 6,409.23
  4. Step 4: Simplify right side
    11,444.73x = 101,222,571.70
  5. Step 5: Solve for x
    x = 101,222,571.70/11,444.73
  6. Step 6: Final answer
    x = 8,844.47

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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.