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Finding the Fourth Proportional to 11,446.40, 15,797.63 and 8,269.97

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Solution

The fourth proportional to 11,446.40, 15,797.63 and 8,269.97 is: 11,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.40 : 15,797.63 = 8,269.97 : x
  2. Step 2: Convert to fraction form
    11,446.40/15,797.63 = 8,269.97/x
  3. Step 3: Cross multiply
    11,446.40x = 15,797.63 × 8,269.97
  4. Step 4: Simplify right side
    11,446.40x = 130,645,986.34
  5. Step 5: Solve for x
    x = 130,645,986.34/11,446.40
  6. Step 6: Final answer
    x = 11,413.72

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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.