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Finding the Fourth Proportional to 7,692.08, 10,614.20 and 4,334.64

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Solution

The fourth proportional to 7,692.08, 10,614.20 and 4,334.64 is: 5,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.08 : 10,614.20 = 4,334.64 : x
  2. Step 2: Convert to fraction form
    7,692.08/10,614.20 = 4,334.64/x
  3. Step 3: Cross multiply
    7,692.08x = 10,614.20 × 4,334.64
  4. Step 4: Simplify right side
    7,692.08x = 46,008,735.89
  5. Step 5: Solve for x
    x = 46,008,735.89/7,692.08
  6. Step 6: Final answer
    x = 5,981.31

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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.