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Finding the Fourth Proportional to 7,131.37, 10,692.50 and 3,426.23

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Solution

The fourth proportional to 7,131.37, 10,692.50 and 3,426.23 is: 5,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.37 : 10,692.50 = 3,426.23 : x
  2. Step 2: Convert to fraction form
    7,131.37/10,692.50 = 3,426.23/x
  3. Step 3: Cross multiply
    7,131.37x = 10,692.50 × 3,426.23
  4. Step 4: Simplify right side
    7,131.37x = 36,634,964.28
  5. Step 5: Solve for x
    x = 36,634,964.28/7,131.37
  6. Step 6: Final answer
    x = 5,137.16

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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.