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Finding the Fourth Proportional to 7,692.17, 11,534.67 and 2,760.48

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Solution

The fourth proportional to 7,692.17, 11,534.67 and 2,760.48 is: 4,139.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.17 : 11,534.67 = 2,760.48 : x
  2. Step 2: Convert to fraction form
    7,692.17/11,534.67 = 2,760.48/x
  3. Step 3: Cross multiply
    7,692.17x = 11,534.67 × 2,760.48
  4. Step 4: Simplify right side
    7,692.17x = 31,841,225.84
  5. Step 5: Solve for x
    x = 31,841,225.84/7,692.17
  6. Step 6: Final answer
    x = 4,139.44

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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.