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Finding the Fourth Proportional to 11,183.92, 15,414.76 and 7,641

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Solution

The fourth proportional to 11,183.92, 15,414.76 and 7,641 is: 10,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,183.92 : 15,414.76 = 7,641 : x
  2. Step 2: Convert to fraction form
    11,183.92/15,414.76 = 7,641/x
  3. Step 3: Cross multiply
    11,183.92x = 15,414.76 × 7,641
  4. Step 4: Simplify right side
    11,183.92x = 117,784,181.16
  5. Step 5: Solve for x
    x = 117,784,181.16/11,183.92
  6. Step 6: Final answer
    x = 10,531.57

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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.