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Finding the Fourth Proportional to 8,296.70, 11,451.85 and 5,466.15

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Solution

The fourth proportional to 8,296.70, 11,451.85 and 5,466.15 is: 7,544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.70 : 11,451.85 = 5,466.15 : x
  2. Step 2: Convert to fraction form
    8,296.70/11,451.85 = 5,466.15/x
  3. Step 3: Cross multiply
    8,296.70x = 11,451.85 × 5,466.15
  4. Step 4: Simplify right side
    8,296.70x = 62,597,516.21
  5. Step 5: Solve for x
    x = 62,597,516.21/8,296.70
  6. Step 6: Final answer
    x = 7,544.87

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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.