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Finding the Fourth Proportional to 7,692.62, 10,616.06 and 4,335.73

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Solution

The fourth proportional to 7,692.62, 10,616.06 and 4,335.73 is: 5,983.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.62 : 10,616.06 = 4,335.73 : x
  2. Step 2: Convert to fraction form
    7,692.62/10,616.06 = 4,335.73/x
  3. Step 3: Cross multiply
    7,692.62x = 10,616.06 × 4,335.73
  4. Step 4: Simplify right side
    7,692.62x = 46,028,354.12
  5. Step 5: Solve for x
    x = 46,028,354.12/7,692.62
  6. Step 6: Final answer
    x = 5,983.44

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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.