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Finding the Fourth Proportional to 8,525.72, 12,771.56 and 6,773.70

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Solution

The fourth proportional to 8,525.72, 12,771.56 and 6,773.70 is: 10,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,525.72 : 12,771.56 = 6,773.70 : x
  2. Step 2: Convert to fraction form
    8,525.72/12,771.56 = 6,773.70/x
  3. Step 3: Cross multiply
    8,525.72x = 12,771.56 × 6,773.70
  4. Step 4: Simplify right side
    8,525.72x = 86,510,715.97
  5. Step 5: Solve for x
    x = 86,510,715.97/8,525.72
  6. Step 6: Final answer
    x = 10,147.03

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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.