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Finding the Fourth Proportional to 10,900.92, 16,344.54 and 5,050.02

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Solution

The fourth proportional to 10,900.92, 16,344.54 and 5,050.02 is: 7,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.92 : 16,344.54 = 5,050.02 : x
  2. Step 2: Convert to fraction form
    10,900.92/16,344.54 = 5,050.02/x
  3. Step 3: Cross multiply
    10,900.92x = 16,344.54 × 5,050.02
  4. Step 4: Simplify right side
    10,900.92x = 82,540,253.89
  5. Step 5: Solve for x
    x = 82,540,253.89/10,900.92
  6. Step 6: Final answer
    x = 7,571.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.