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Finding the Fourth Proportional to 10,450.92, 14,422.08 and 5,913.54

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Solution

The fourth proportional to 10,450.92, 14,422.08 and 5,913.54 is: 8,160.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450.92 : 14,422.08 = 5,913.54 : x
  2. Step 2: Convert to fraction form
    10,450.92/14,422.08 = 5,913.54/x
  3. Step 3: Cross multiply
    10,450.92x = 14,422.08 × 5,913.54
  4. Step 4: Simplify right side
    10,450.92x = 85,285,546.96
  5. Step 5: Solve for x
    x = 85,285,546.96/10,450.92
  6. Step 6: Final answer
    x = 8,160.58

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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.