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Finding the Fourth Proportional to 11,382.75, 17,077.02 and 3,174.75

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Solution

The fourth proportional to 11,382.75, 17,077.02 and 3,174.75 is: 4,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.75 : 17,077.02 = 3,174.75 : x
  2. Step 2: Convert to fraction form
    11,382.75/17,077.02 = 3,174.75/x
  3. Step 3: Cross multiply
    11,382.75x = 17,077.02 × 3,174.75
  4. Step 4: Simplify right side
    11,382.75x = 54,215,269.25
  5. Step 5: Solve for x
    x = 54,215,269.25/11,382.75
  6. Step 6: Final answer
    x = 4,762.93

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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.