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Finding the Fourth Proportional to 11,583.50, 17,375.24 and 4,656.38

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Solution

The fourth proportional to 11,583.50, 17,375.24 and 4,656.38 is: 6,984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.50 : 17,375.24 = 4,656.38 : x
  2. Step 2: Convert to fraction form
    11,583.50/17,375.24 = 4,656.38/x
  3. Step 3: Cross multiply
    11,583.50x = 17,375.24 × 4,656.38
  4. Step 4: Simplify right side
    11,583.50x = 80,905,644.80
  5. Step 5: Solve for x
    x = 80,905,644.80/11,583.50
  6. Step 6: Final answer
    x = 6,984.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.