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Finding the Fourth Proportional to 10,542.54, 15,816.21 and 3,146.73

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Solution

The fourth proportional to 10,542.54, 15,816.21 and 3,146.73 is: 4,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542.54 : 15,816.21 = 3,146.73 : x
  2. Step 2: Convert to fraction form
    10,542.54/15,816.21 = 3,146.73/x
  3. Step 3: Cross multiply
    10,542.54x = 15,816.21 × 3,146.73
  4. Step 4: Simplify right side
    10,542.54x = 49,769,342.49
  5. Step 5: Solve for x
    x = 49,769,342.49/10,542.54
  6. Step 6: Final answer
    x = 4,720.81

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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.