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Finding the Fourth Proportional to 8,299.26, 12,446.82 and 5,177.70

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Solution

The fourth proportional to 8,299.26, 12,446.82 and 5,177.70 is: 7,765.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.26 : 12,446.82 = 5,177.70 : x
  2. Step 2: Convert to fraction form
    8,299.26/12,446.82 = 5,177.70/x
  3. Step 3: Cross multiply
    8,299.26x = 12,446.82 × 5,177.70
  4. Step 4: Simplify right side
    8,299.26x = 64,445,899.91
  5. Step 5: Solve for x
    x = 64,445,899.91/8,299.26
  6. Step 6: Final answer
    x = 7,765.26

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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.