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Finding the Fourth Proportional to 11,352.50, 15,668.94 and 6,318.44

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Solution

The fourth proportional to 11,352.50, 15,668.94 and 6,318.44 is: 8,720.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.50 : 15,668.94 = 6,318.44 : x
  2. Step 2: Convert to fraction form
    11,352.50/15,668.94 = 6,318.44/x
  3. Step 3: Cross multiply
    11,352.50x = 15,668.94 × 6,318.44
  4. Step 4: Simplify right side
    11,352.50x = 99,003,257.25
  5. Step 5: Solve for x
    x = 99,003,257.25/11,352.50
  6. Step 6: Final answer
    x = 8,720.83

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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.