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Finding the Fourth Proportional to 11,765.34, 16,239.28 and 7,286.55

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Solution

The fourth proportional to 11,765.34, 16,239.28 and 7,286.55 is: 10,057.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.34 : 16,239.28 = 7,286.55 : x
  2. Step 2: Convert to fraction form
    11,765.34/16,239.28 = 7,286.55/x
  3. Step 3: Cross multiply
    11,765.34x = 16,239.28 × 7,286.55
  4. Step 4: Simplify right side
    11,765.34x = 118,328,325.68
  5. Step 5: Solve for x
    x = 118,328,325.68/11,765.34
  6. Step 6: Final answer
    x = 10,057.37

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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.