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Finding the Fourth Proportional to 8,322.07, 11,489.07 and 5,673.37

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Solution

The fourth proportional to 8,322.07, 11,489.07 and 5,673.37 is: 7,832.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.07 : 11,489.07 = 5,673.37 : x
  2. Step 2: Convert to fraction form
    8,322.07/11,489.07 = 5,673.37/x
  3. Step 3: Cross multiply
    8,322.07x = 11,489.07 × 5,673.37
  4. Step 4: Simplify right side
    8,322.07x = 65,181,745.07
  5. Step 5: Solve for x
    x = 65,181,745.07/8,322.07
  6. Step 6: Final answer
    x = 7,832.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.