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Finding the Fourth Proportional to 8,446.21, 11,655.77 and 4,617.86

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Solution

The fourth proportional to 8,446.21, 11,655.77 and 4,617.86 is: 6,372.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.21 : 11,655.77 = 4,617.86 : x
  2. Step 2: Convert to fraction form
    8,446.21/11,655.77 = 4,617.86/x
  3. Step 3: Cross multiply
    8,446.21x = 11,655.77 × 4,617.86
  4. Step 4: Simplify right side
    8,446.21x = 53,824,632.68
  5. Step 5: Solve for x
    x = 53,824,632.68/8,446.21
  6. Step 6: Final answer
    x = 6,372.64

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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.