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Finding the Fourth Proportional to 11,525, 17,285.36 and 3,202.92

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Solution

The fourth proportional to 11,525, 17,285.36 and 3,202.92 is: 4,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525 : 17,285.36 = 3,202.92 : x
  2. Step 2: Convert to fraction form
    11,525/17,285.36 = 3,202.92/x
  3. Step 3: Cross multiply
    11,525x = 17,285.36 × 3,202.92
  4. Step 4: Simplify right side
    11,525x = 55,363,625.25
  5. Step 5: Solve for x
    x = 55,363,625.25/11,525
  6. Step 6: Final answer
    x = 4,803.79

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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.