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Finding the Fourth Proportional to 10,352.67, 14,286.67 and 5,636.85

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Solution

The fourth proportional to 10,352.67, 14,286.67 and 5,636.85 is: 7,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,352.67 : 14,286.67 = 5,636.85 : x
  2. Step 2: Convert to fraction form
    10,352.67/14,286.67 = 5,636.85/x
  3. Step 3: Cross multiply
    10,352.67x = 14,286.67 × 5,636.85
  4. Step 4: Simplify right side
    10,352.67x = 80,531,815.79
  5. Step 5: Solve for x
    x = 80,531,815.79/10,352.67
  6. Step 6: Final answer
    x = 7,778.85

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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.