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Finding the Fourth Proportional to 7,692.62, 10,616.04 and 4,335.25

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Solution

The fourth proportional to 7,692.62, 10,616.04 and 4,335.25 is: 5,982.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.62 : 10,616.04 = 4,335.25 : x
  2. Step 2: Convert to fraction form
    7,692.62/10,616.04 = 4,335.25/x
  3. Step 3: Cross multiply
    7,692.62x = 10,616.04 × 4,335.25
  4. Step 4: Simplify right side
    7,692.62x = 46,023,160.87
  5. Step 5: Solve for x
    x = 46,023,160.87/7,692.62
  6. Step 6: Final answer
    x = 5,982.77

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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.