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Finding the Fourth Proportional to 11,796.01, 16,278.39 and 6,692.50

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Solution

The fourth proportional to 11,796.01, 16,278.39 and 6,692.50 is: 9,235.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.01 : 16,278.39 = 6,692.50 : x
  2. Step 2: Convert to fraction form
    11,796.01/16,278.39 = 6,692.50/x
  3. Step 3: Cross multiply
    11,796.01x = 16,278.39 × 6,692.50
  4. Step 4: Simplify right side
    11,796.01x = 108,943,084.38
  5. Step 5: Solve for x
    x = 108,943,084.38/11,796.01
  6. Step 6: Final answer
    x = 9,235.59

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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.