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Finding the Fourth Proportional to 7,163.34, 9,885.66 and 4,178.70

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Solution

The fourth proportional to 7,163.34, 9,885.66 and 4,178.70 is: 5,766.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.34 : 9,885.66 = 4,178.70 : x
  2. Step 2: Convert to fraction form
    7,163.34/9,885.66 = 4,178.70/x
  3. Step 3: Cross multiply
    7,163.34x = 9,885.66 × 4,178.70
  4. Step 4: Simplify right side
    7,163.34x = 41,309,207.44
  5. Step 5: Solve for x
    x = 41,309,207.44/7,163.34
  6. Step 6: Final answer
    x = 5,766.75

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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.