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Finding the Fourth Proportional to 11,833.53, 17,751.87 and 3,513.65

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Solution

The fourth proportional to 11,833.53, 17,751.87 and 3,513.65 is: 5,270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.53 : 17,751.87 = 3,513.65 : x
  2. Step 2: Convert to fraction form
    11,833.53/17,751.87 = 3,513.65/x
  3. Step 3: Cross multiply
    11,833.53x = 17,751.87 × 3,513.65
  4. Step 4: Simplify right side
    11,833.53x = 62,373,769.27
  5. Step 5: Solve for x
    x = 62,373,769.27/11,833.53
  6. Step 6: Final answer
    x = 5,270.94

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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.