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Finding the Fourth Proportional to 10,850.29, 16,270.07 and 3,828.50

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Solution

The fourth proportional to 10,850.29, 16,270.07 and 3,828.50 is: 5,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.29 : 16,270.07 = 3,828.50 : x
  2. Step 2: Convert to fraction form
    10,850.29/16,270.07 = 3,828.50/x
  3. Step 3: Cross multiply
    10,850.29x = 16,270.07 × 3,828.50
  4. Step 4: Simplify right side
    10,850.29x = 62,289,923.51
  5. Step 5: Solve for x
    x = 62,289,923.51/10,850.29
  6. Step 6: Final answer
    x = 5,740.85

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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.