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Finding the Fourth Proportional to 8,452.08, 11,657.34 and 6,457.68

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Solution

The fourth proportional to 8,452.08, 11,657.34 and 6,457.68 is: 8,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.08 : 11,657.34 = 6,457.68 : x
  2. Step 2: Convert to fraction form
    8,452.08/11,657.34 = 6,457.68/x
  3. Step 3: Cross multiply
    8,452.08x = 11,657.34 × 6,457.68
  4. Step 4: Simplify right side
    8,452.08x = 75,279,371.37
  5. Step 5: Solve for x
    x = 75,279,371.37/8,452.08
  6. Step 6: Final answer
    x = 8,906.61

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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.