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Finding the Fourth Proportional to 10,750.92, 16,144.92 and 6,395.76

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Solution

The fourth proportional to 10,750.92, 16,144.92 and 6,395.76 is: 9,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.92 : 16,144.92 = 6,395.76 : x
  2. Step 2: Convert to fraction form
    10,750.92/16,144.92 = 6,395.76/x
  3. Step 3: Cross multiply
    10,750.92x = 16,144.92 × 6,395.76
  4. Step 4: Simplify right side
    10,750.92x = 103,259,033.54
  5. Step 5: Solve for x
    x = 103,259,033.54/10,750.92
  6. Step 6: Final answer
    x = 9,604.67

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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.