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Finding the Fourth Proportional to 11,550.87, 15,942.67 and 7,299.23

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Solution

The fourth proportional to 11,550.87, 15,942.67 and 7,299.23 is: 10,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.87 : 15,942.67 = 7,299.23 : x
  2. Step 2: Convert to fraction form
    11,550.87/15,942.67 = 7,299.23/x
  3. Step 3: Cross multiply
    11,550.87x = 15,942.67 × 7,299.23
  4. Step 4: Simplify right side
    11,550.87x = 116,369,144.55
  5. Step 5: Solve for x
    x = 116,369,144.55/11,550.87
  6. Step 6: Final answer
    x = 10,074.49

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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.