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Finding the Fourth Proportional to 7,309.92, 10,966.32 and 2,692.96

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Solution

The fourth proportional to 7,309.92, 10,966.32 and 2,692.96 is: 4,039.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.92 : 10,966.32 = 2,692.96 : x
  2. Step 2: Convert to fraction form
    7,309.92/10,966.32 = 2,692.96/x
  3. Step 3: Cross multiply
    7,309.92x = 10,966.32 × 2,692.96
  4. Step 4: Simplify right side
    7,309.92x = 29,531,861.11
  5. Step 5: Solve for x
    x = 29,531,861.11/7,309.92
  6. Step 6: Final answer
    x = 4,039.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.