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Finding the Fourth Proportional to 7,727.94, 10,692.68 and 6,735.29

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Solution

The fourth proportional to 7,727.94, 10,692.68 and 6,735.29 is: 9,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727.94 : 10,692.68 = 6,735.29 : x
  2. Step 2: Convert to fraction form
    7,727.94/10,692.68 = 6,735.29/x
  3. Step 3: Cross multiply
    7,727.94x = 10,692.68 × 6,735.29
  4. Step 4: Simplify right side
    7,727.94x = 72,018,213.54
  5. Step 5: Solve for x
    x = 72,018,213.54/7,727.94
  6. Step 6: Final answer
    x = 9,319.20

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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.