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Finding the Fourth Proportional to 8,523.14, 11,762.49 and 5,166.27

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Solution

The fourth proportional to 8,523.14, 11,762.49 and 5,166.27 is: 7,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.14 : 11,762.49 = 5,166.27 : x
  2. Step 2: Convert to fraction form
    8,523.14/11,762.49 = 5,166.27/x
  3. Step 3: Cross multiply
    8,523.14x = 11,762.49 × 5,166.27
  4. Step 4: Simplify right side
    8,523.14x = 60,768,199.21
  5. Step 5: Solve for x
    x = 60,768,199.21/8,523.14
  6. Step 6: Final answer
    x = 7,129.79

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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.