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Finding the Fourth Proportional to 7,163.64, 9,885.78 and 4,179.24

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Solution

The fourth proportional to 7,163.64, 9,885.78 and 4,179.24 is: 5,767.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.64 : 9,885.78 = 4,179.24 : x
  2. Step 2: Convert to fraction form
    7,163.64/9,885.78 = 4,179.24/x
  3. Step 3: Cross multiply
    7,163.64x = 9,885.78 × 4,179.24
  4. Step 4: Simplify right side
    7,163.64x = 41,315,047.21
  5. Step 5: Solve for x
    x = 41,315,047.21/7,163.64
  6. Step 6: Final answer
    x = 5,767.33

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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.