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Finding the Fourth Proportional to 7,692.88, 11,538.86 and 2,146.54

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Solution

The fourth proportional to 7,692.88, 11,538.86 and 2,146.54 is: 3,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.88 : 11,538.86 = 2,146.54 : x
  2. Step 2: Convert to fraction form
    7,692.88/11,538.86 = 2,146.54/x
  3. Step 3: Cross multiply
    7,692.88x = 11,538.86 × 2,146.54
  4. Step 4: Simplify right side
    7,692.88x = 24,768,624.54
  5. Step 5: Solve for x
    x = 24,768,624.54/7,692.88
  6. Step 6: Final answer
    x = 3,219.68

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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.