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Finding the Fourth Proportional to 11,692.46, 17,538.70 and 2,927.38

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Solution

The fourth proportional to 11,692.46, 17,538.70 and 2,927.38 is: 4,391.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.46 : 17,538.70 = 2,927.38 : x
  2. Step 2: Convert to fraction form
    11,692.46/17,538.70 = 2,927.38/x
  3. Step 3: Cross multiply
    11,692.46x = 17,538.70 × 2,927.38
  4. Step 4: Simplify right side
    11,692.46x = 51,342,439.61
  5. Step 5: Solve for x
    x = 51,342,439.61/11,692.46
  6. Step 6: Final answer
    x = 4,391.07

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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.