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Finding the Fourth Proportional to 8,296.64, 11,451.24 and 5,650.40

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Solution

The fourth proportional to 8,296.64, 11,451.24 and 5,650.40 is: 7,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.64 : 11,451.24 = 5,650.40 : x
  2. Step 2: Convert to fraction form
    8,296.64/11,451.24 = 5,650.40/x
  3. Step 3: Cross multiply
    8,296.64x = 11,451.24 × 5,650.40
  4. Step 4: Simplify right side
    8,296.64x = 64,704,086.50
  5. Step 5: Solve for x
    x = 64,704,086.50/8,296.64
  6. Step 6: Final answer
    x = 7,798.83

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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.