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Finding the Fourth Proportional to 11,467.52, 17,202.08 and 4,542

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Solution

The fourth proportional to 11,467.52, 17,202.08 and 4,542 is: 6,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.52 : 17,202.08 = 4,542 : x
  2. Step 2: Convert to fraction form
    11,467.52/17,202.08 = 4,542/x
  3. Step 3: Cross multiply
    11,467.52x = 17,202.08 × 4,542
  4. Step 4: Simplify right side
    11,467.52x = 78,131,847.36
  5. Step 5: Solve for x
    x = 78,131,847.36/11,467.52
  6. Step 6: Final answer
    x = 6,813.32

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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.