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Finding the Fourth Proportional to 11,760.53, 17,640.79 and 3,969.23

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Solution

The fourth proportional to 11,760.53, 17,640.79 and 3,969.23 is: 5,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.53 : 17,640.79 = 3,969.23 : x
  2. Step 2: Convert to fraction form
    11,760.53/17,640.79 = 3,969.23/x
  3. Step 3: Cross multiply
    11,760.53x = 17,640.79 × 3,969.23
  4. Step 4: Simplify right side
    11,760.53x = 70,020,254.76
  5. Step 5: Solve for x
    x = 70,020,254.76/11,760.53
  6. Step 6: Final answer
    x = 5,953.84

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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.