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Finding the Fourth Proportional to 10,754.67, 14,840.75 and 5,974.26

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Solution

The fourth proportional to 10,754.67, 14,840.75 and 5,974.26 is: 8,244.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,754.67 : 14,840.75 = 5,974.26 : x
  2. Step 2: Convert to fraction form
    10,754.67/14,840.75 = 5,974.26/x
  3. Step 3: Cross multiply
    10,754.67x = 14,840.75 × 5,974.26
  4. Step 4: Simplify right side
    10,754.67x = 88,662,458.38
  5. Step 5: Solve for x
    x = 88,662,458.38/10,754.67
  6. Step 6: Final answer
    x = 8,244.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.