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Finding the Fourth Proportional to 11,692.89, 16,135.94 and 6,387.74

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Solution

The fourth proportional to 11,692.89, 16,135.94 and 6,387.74 is: 8,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.89 : 16,135.94 = 6,387.74 : x
  2. Step 2: Convert to fraction form
    11,692.89/16,135.94 = 6,387.74/x
  3. Step 3: Cross multiply
    11,692.89x = 16,135.94 × 6,387.74
  4. Step 4: Simplify right side
    11,692.89x = 103,072,076.76
  5. Step 5: Solve for x
    x = 103,072,076.76/11,692.89
  6. Step 6: Final answer
    x = 8,814.94

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