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Finding the Fourth Proportional to 11,540.93, 17,300.97 and 4,143.65

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Solution

The fourth proportional to 11,540.93, 17,300.97 and 4,143.65 is: 6,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.93 : 17,300.97 = 4,143.65 : x
  2. Step 2: Convert to fraction form
    11,540.93/17,300.97 = 4,143.65/x
  3. Step 3: Cross multiply
    11,540.93x = 17,300.97 × 4,143.65
  4. Step 4: Simplify right side
    11,540.93x = 71,689,077.84
  5. Step 5: Solve for x
    x = 71,689,077.84/11,540.93
  6. Step 6: Final answer
    x = 6,211.73

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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.