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Finding the Fourth Proportional to 8,322.57, 11,489.76 and 5,673.87

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Solution

The fourth proportional to 8,322.57, 11,489.76 and 5,673.87 is: 7,833.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.57 : 11,489.76 = 5,673.87 : x
  2. Step 2: Convert to fraction form
    8,322.57/11,489.76 = 5,673.87/x
  3. Step 3: Cross multiply
    8,322.57x = 11,489.76 × 5,673.87
  4. Step 4: Simplify right side
    8,322.57x = 65,191,404.57
  5. Step 5: Solve for x
    x = 65,191,404.57/8,322.57
  6. Step 6: Final answer
    x = 7,833.09

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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.