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Finding the Fourth Proportional to 11,648.20, 17,437.92 and 7,692.16

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Solution

The fourth proportional to 11,648.20, 17,437.92 and 7,692.16 is: 11,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,648.20 : 17,437.92 = 7,692.16 : x
  2. Step 2: Convert to fraction form
    11,648.20/17,437.92 = 7,692.16/x
  3. Step 3: Cross multiply
    11,648.20x = 17,437.92 × 7,692.16
  4. Step 4: Simplify right side
    11,648.20x = 134,135,270.71
  5. Step 5: Solve for x
    x = 134,135,270.71/11,648.20
  6. Step 6: Final answer
    x = 11,515.54

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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.