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Finding the Fourth Proportional to 7,126.71, 10,692.23 and 3,427.89

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Solution

The fourth proportional to 7,126.71, 10,692.23 and 3,427.89 is: 5,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.71 : 10,692.23 = 3,427.89 : x
  2. Step 2: Convert to fraction form
    7,126.71/10,692.23 = 3,427.89/x
  3. Step 3: Cross multiply
    7,126.71x = 10,692.23 × 3,427.89
  4. Step 4: Simplify right side
    7,126.71x = 36,651,771.16
  5. Step 5: Solve for x
    x = 36,651,771.16/7,126.71
  6. Step 6: Final answer
    x = 5,142.87

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