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Finding the Fourth Proportional to 10,937.31, 16,406.52 and 3,542.37

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Solution

The fourth proportional to 10,937.31, 16,406.52 and 3,542.37 is: 5,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.31 : 16,406.52 = 3,542.37 : x
  2. Step 2: Convert to fraction form
    10,937.31/16,406.52 = 3,542.37/x
  3. Step 3: Cross multiply
    10,937.31x = 16,406.52 × 3,542.37
  4. Step 4: Simplify right side
    10,937.31x = 58,117,964.25
  5. Step 5: Solve for x
    x = 58,117,964.25/10,937.31
  6. Step 6: Final answer
    x = 5,313.73

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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.