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Finding the Fourth Proportional to 7,449, 11,174.67 and 2,517.48

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Solution

The fourth proportional to 7,449, 11,174.67 and 2,517.48 is: 3,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449 : 11,174.67 = 2,517.48 : x
  2. Step 2: Convert to fraction form
    7,449/11,174.67 = 2,517.48/x
  3. Step 3: Cross multiply
    7,449x = 11,174.67 × 2,517.48
  4. Step 4: Simplify right side
    7,449x = 28,132,008.23
  5. Step 5: Solve for x
    x = 28,132,008.23/7,449
  6. Step 6: Final answer
    x = 3,776.62

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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.