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Finding the Fourth Proportional to 7,692.76, 10,616 and 4,155.97

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Solution

The fourth proportional to 7,692.76, 10,616 and 4,155.97 is: 5,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.76 : 10,616 = 4,155.97 : x
  2. Step 2: Convert to fraction form
    7,692.76/10,616 = 4,155.97/x
  3. Step 3: Cross multiply
    7,692.76x = 10,616 × 4,155.97
  4. Step 4: Simplify right side
    7,692.76x = 44,119,777.52
  5. Step 5: Solve for x
    x = 44,119,777.52/7,692.76
  6. Step 6: Final answer
    x = 5,735.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.