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Finding the Fourth Proportional to 11,692.66, 16,135.41 and 6,915.70

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Solution

The fourth proportional to 11,692.66, 16,135.41 and 6,915.70 is: 9,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.66 : 16,135.41 = 6,915.70 : x
  2. Step 2: Convert to fraction form
    11,692.66/16,135.41 = 6,915.70/x
  3. Step 3: Cross multiply
    11,692.66x = 16,135.41 × 6,915.70
  4. Step 4: Simplify right side
    11,692.66x = 111,587,654.94
  5. Step 5: Solve for x
    x = 111,587,654.94/11,692.66
  6. Step 6: Final answer
    x = 9,543.39

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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.