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Finding the Fourth Proportional to 10,921.69, 16,378.37 and 3,900.39

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Solution

The fourth proportional to 10,921.69, 16,378.37 and 3,900.39 is: 5,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.69 : 16,378.37 = 3,900.39 : x
  2. Step 2: Convert to fraction form
    10,921.69/16,378.37 = 3,900.39/x
  3. Step 3: Cross multiply
    10,921.69x = 16,378.37 × 3,900.39
  4. Step 4: Simplify right side
    10,921.69x = 63,882,025.69
  5. Step 5: Solve for x
    x = 63,882,025.69/10,921.69
  6. Step 6: Final answer
    x = 5,849.10

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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.