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Finding the Fourth Proportional to 11,600.80, 17,397.68 and 3,280.16

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Solution

The fourth proportional to 11,600.80, 17,397.68 and 3,280.16 is: 4,919.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.80 : 17,397.68 = 3,280.16 : x
  2. Step 2: Convert to fraction form
    11,600.80/17,397.68 = 3,280.16/x
  3. Step 3: Cross multiply
    11,600.80x = 17,397.68 × 3,280.16
  4. Step 4: Simplify right side
    11,600.80x = 57,067,174.03
  5. Step 5: Solve for x
    x = 57,067,174.03/11,600.80
  6. Step 6: Final answer
    x = 4,919.24

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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.