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Finding the Fourth Proportional to 11,692.86, 16,137.09 and 6,657.18

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Solution

The fourth proportional to 11,692.86, 16,137.09 and 6,657.18 is: 9,187.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.86 : 16,137.09 = 6,657.18 : x
  2. Step 2: Convert to fraction form
    11,692.86/16,137.09 = 6,657.18/x
  3. Step 3: Cross multiply
    11,692.86x = 16,137.09 × 6,657.18
  4. Step 4: Simplify right side
    11,692.86x = 107,427,512.81
  5. Step 5: Solve for x
    x = 107,427,512.81/11,692.86
  6. Step 6: Final answer
    x = 9,187.45

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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.