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Finding the Fourth Proportional to 11,692.96, 17,539.44 and 5,116

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Solution

The fourth proportional to 11,692.96, 17,539.44 and 5,116 is: 7,674

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.96 : 17,539.44 = 5,116 : x
  2. Step 2: Convert to fraction form
    11,692.96/17,539.44 = 5,116/x
  3. Step 3: Cross multiply
    11,692.96x = 17,539.44 × 5,116
  4. Step 4: Simplify right side
    11,692.96x = 89,731,775.04
  5. Step 5: Solve for x
    x = 89,731,775.04/11,692.96
  6. Step 6: Final answer
    x = 7,674

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.