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Finding the Fourth Proportional to 8,424.52, 11,628.90 and 6,296.68

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Solution

The fourth proportional to 8,424.52, 11,628.90 and 6,296.68 is: 8,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.52 : 11,628.90 = 6,296.68 : x
  2. Step 2: Convert to fraction form
    8,424.52/11,628.90 = 6,296.68/x
  3. Step 3: Cross multiply
    8,424.52x = 11,628.90 × 6,296.68
  4. Step 4: Simplify right side
    8,424.52x = 73,223,462.05
  5. Step 5: Solve for x
    x = 73,223,462.05/8,424.52
  6. Step 6: Final answer
    x = 8,691.71

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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.