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Finding the Fourth Proportional to 11,443.26, 15,793.19 and 6,409.40

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Solution

The fourth proportional to 11,443.26, 15,793.19 and 6,409.40 is: 8,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.26 : 15,793.19 = 6,409.40 : x
  2. Step 2: Convert to fraction form
    11,443.26/15,793.19 = 6,409.40/x
  3. Step 3: Cross multiply
    11,443.26x = 15,793.19 × 6,409.40
  4. Step 4: Simplify right side
    11,443.26x = 101,224,760.97
  5. Step 5: Solve for x
    x = 101,224,760.97/11,443.26
  6. Step 6: Final answer
    x = 8,845.80

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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.