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Finding the Fourth Proportional to 8,522.75, 12,777.73 and 5,741.62

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Solution

The fourth proportional to 8,522.75, 12,777.73 and 5,741.62 is: 8,608.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,522.75 : 12,777.73 = 5,741.62 : x
  2. Step 2: Convert to fraction form
    8,522.75/12,777.73 = 5,741.62/x
  3. Step 3: Cross multiply
    8,522.75x = 12,777.73 × 5,741.62
  4. Step 4: Simplify right side
    8,522.75x = 73,364,823.82
  5. Step 5: Solve for x
    x = 73,364,823.82/8,522.75
  6. Step 6: Final answer
    x = 8,608.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.