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Finding the Fourth Proportional to 8,472.75, 11,692.40 and 5,160.75

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Solution

The fourth proportional to 8,472.75, 11,692.40 and 5,160.75 is: 7,121.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.75 : 11,692.40 = 5,160.75 : x
  2. Step 2: Convert to fraction form
    8,472.75/11,692.40 = 5,160.75/x
  3. Step 3: Cross multiply
    8,472.75x = 11,692.40 × 5,160.75
  4. Step 4: Simplify right side
    8,472.75x = 60,341,527.50
  5. Step 5: Solve for x
    x = 60,341,527.50/8,472.75
  6. Step 6: Final answer
    x = 7,121.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.