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Finding the Fourth Proportional to 10,462.88, 15,694.32 and 3,542.24

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Solution

The fourth proportional to 10,462.88, 15,694.32 and 3,542.24 is: 5,313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.88 : 15,694.32 = 3,542.24 : x
  2. Step 2: Convert to fraction form
    10,462.88/15,694.32 = 3,542.24/x
  3. Step 3: Cross multiply
    10,462.88x = 15,694.32 × 3,542.24
  4. Step 4: Simplify right side
    10,462.88x = 55,593,048.08
  5. Step 5: Solve for x
    x = 55,593,048.08/10,462.88
  6. Step 6: Final answer
    x = 5,313.36

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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.