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Finding the Fourth Proportional to 11,163.24, 16,745.40 and 6,543

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Solution

The fourth proportional to 11,163.24, 16,745.40 and 6,543 is: 9,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.24 : 16,745.40 = 6,543 : x
  2. Step 2: Convert to fraction form
    11,163.24/16,745.40 = 6,543/x
  3. Step 3: Cross multiply
    11,163.24x = 16,745.40 × 6,543
  4. Step 4: Simplify right side
    11,163.24x = 109,565,152.20
  5. Step 5: Solve for x
    x = 109,565,152.20/11,163.24
  6. Step 6: Final answer
    x = 9,814.82

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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.