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Finding the Fourth Proportional to 11,409.49, 15,744.53 and 6,372.70

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Solution

The fourth proportional to 11,409.49, 15,744.53 and 6,372.70 is: 8,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.49 : 15,744.53 = 6,372.70 : x
  2. Step 2: Convert to fraction form
    11,409.49/15,744.53 = 6,372.70/x
  3. Step 3: Cross multiply
    11,409.49x = 15,744.53 × 6,372.70
  4. Step 4: Simplify right side
    11,409.49x = 100,335,217.41
  5. Step 5: Solve for x
    x = 100,335,217.41/11,409.49
  6. Step 6: Final answer
    x = 8,794.02

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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.