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Finding the Fourth Proportional to 11,692.88, 17,546.96 and 4,297.40

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Solution

The fourth proportional to 11,692.88, 17,546.96 and 4,297.40 is: 6,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.88 : 17,546.96 = 4,297.40 : x
  2. Step 2: Convert to fraction form
    11,692.88/17,546.96 = 4,297.40/x
  3. Step 3: Cross multiply
    11,692.88x = 17,546.96 × 4,297.40
  4. Step 4: Simplify right side
    11,692.88x = 75,406,305.90
  5. Step 5: Solve for x
    x = 75,406,305.90/11,692.88
  6. Step 6: Final answer
    x = 6,448.91

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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.