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Finding the Fourth Proportional to 8,523.68, 11,763.15 and 5,166.78

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Solution

The fourth proportional to 8,523.68, 11,763.15 and 5,166.78 is: 7,130.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.68 : 11,763.15 = 5,166.78 : x
  2. Step 2: Convert to fraction form
    8,523.68/11,763.15 = 5,166.78/x
  3. Step 3: Cross multiply
    8,523.68x = 11,763.15 × 5,166.78
  4. Step 4: Simplify right side
    8,523.68x = 60,777,608.16
  5. Step 5: Solve for x
    x = 60,777,608.16/8,523.68
  6. Step 6: Final answer
    x = 7,130.45

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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.