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Finding the Fourth Proportional to 11,651.76, 16,084.96 and 7,462.48

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Solution

The fourth proportional to 11,651.76, 16,084.96 and 7,462.48 is: 10,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,651.76 : 16,084.96 = 7,462.48 : x
  2. Step 2: Convert to fraction form
    11,651.76/16,084.96 = 7,462.48/x
  3. Step 3: Cross multiply
    11,651.76x = 16,084.96 × 7,462.48
  4. Step 4: Simplify right side
    11,651.76x = 120,033,692.30
  5. Step 5: Solve for x
    x = 120,033,692.30/11,651.76
  6. Step 6: Final answer
    x = 10,301.76

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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.