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Finding the Fourth Proportional to 11,692.50, 17,539.34 and 3,901.92

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Solution

The fourth proportional to 11,692.50, 17,539.34 and 3,901.92 is: 5,853.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.50 : 17,539.34 = 3,901.92 : x
  2. Step 2: Convert to fraction form
    11,692.50/17,539.34 = 3,901.92/x
  3. Step 3: Cross multiply
    11,692.50x = 17,539.34 × 3,901.92
  4. Step 4: Simplify right side
    11,692.50x = 68,437,082.02
  5. Step 5: Solve for x
    x = 68,437,082.02/11,692.50
  6. Step 6: Final answer
    x = 5,853.08

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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.