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Finding the Fourth Proportional to 6,692.40, 10,048.20 and 5,233.20

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Solution

The fourth proportional to 6,692.40, 10,048.20 and 5,233.20 is: 7,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692.40 : 10,048.20 = 5,233.20 : x
  2. Step 2: Convert to fraction form
    6,692.40/10,048.20 = 5,233.20/x
  3. Step 3: Cross multiply
    6,692.40x = 10,048.20 × 5,233.20
  4. Step 4: Simplify right side
    6,692.40x = 52,584,240.24
  5. Step 5: Solve for x
    x = 52,584,240.24/6,692.40
  6. Step 6: Final answer
    x = 7,857.31

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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.