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Finding the Fourth Proportional to 11,962.26, 16,506.85 and 6,926.82

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Solution

The fourth proportional to 11,962.26, 16,506.85 and 6,926.82 is: 9,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,962.26 : 16,506.85 = 6,926.82 : x
  2. Step 2: Convert to fraction form
    11,962.26/16,506.85 = 6,926.82/x
  3. Step 3: Cross multiply
    11,962.26x = 16,506.85 × 6,926.82
  4. Step 4: Simplify right side
    11,962.26x = 114,339,978.72
  5. Step 5: Solve for x
    x = 114,339,978.72/11,962.26
  6. Step 6: Final answer
    x = 9,558.39

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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.