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Finding the Fourth Proportional to 8,467.62, 11,673.77 and 5,635.13

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Solution

The fourth proportional to 8,467.62, 11,673.77 and 5,635.13 is: 7,768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.62 : 11,673.77 = 5,635.13 : x
  2. Step 2: Convert to fraction form
    8,467.62/11,673.77 = 5,635.13/x
  3. Step 3: Cross multiply
    8,467.62x = 11,673.77 × 5,635.13
  4. Step 4: Simplify right side
    8,467.62x = 65,783,125.00
  5. Step 5: Solve for x
    x = 65,783,125.00/8,467.62
  6. Step 6: Final answer
    x = 7,768.79

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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.