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Finding the Fourth Proportional to 10,692.36, 14,755.14 and 5,912.64

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Solution

The fourth proportional to 10,692.36, 14,755.14 and 5,912.64 is: 8,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.36 : 14,755.14 = 5,912.64 : x
  2. Step 2: Convert to fraction form
    10,692.36/14,755.14 = 5,912.64/x
  3. Step 3: Cross multiply
    10,692.36x = 14,755.14 × 5,912.64
  4. Step 4: Simplify right side
    10,692.36x = 87,241,830.97
  5. Step 5: Solve for x
    x = 87,241,830.97/10,692.36
  6. Step 6: Final answer
    x = 8,159.27

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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.