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Finding the Fourth Proportional to 6,692.16, 10,040.16 and 2,794.56

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Solution

The fourth proportional to 6,692.16, 10,040.16 and 2,794.56 is: 4,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.16 : 10,040.16 = 2,794.56 : x
  2. Step 2: Convert to fraction form
    6,692.16/10,040.16 = 2,794.56/x
  3. Step 3: Cross multiply
    6,692.16x = 10,040.16 × 2,794.56
  4. Step 4: Simplify right side
    6,692.16x = 28,057,829.53
  5. Step 5: Solve for x
    x = 28,057,829.53/6,692.16
  6. Step 6: Final answer
    x = 4,192.64

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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.