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Finding the Fourth Proportional to 11,122.56, 16,675.20 and 6,500.16

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Solution

The fourth proportional to 11,122.56, 16,675.20 and 6,500.16 is: 9,745.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.56 : 16,675.20 = 6,500.16 : x
  2. Step 2: Convert to fraction form
    11,122.56/16,675.20 = 6,500.16/x
  3. Step 3: Cross multiply
    11,122.56x = 16,675.20 × 6,500.16
  4. Step 4: Simplify right side
    11,122.56x = 108,391,468.03
  5. Step 5: Solve for x
    x = 108,391,468.03/11,122.56
  6. Step 6: Final answer
    x = 9,745.19

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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.