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Finding the Fourth Proportional to 8,431.75, 11,635.86 and 4,705.75

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Solution

The fourth proportional to 8,431.75, 11,635.86 and 4,705.75 is: 6,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.75 : 11,635.86 = 4,705.75 : x
  2. Step 2: Convert to fraction form
    8,431.75/11,635.86 = 4,705.75/x
  3. Step 3: Cross multiply
    8,431.75x = 11,635.86 × 4,705.75
  4. Step 4: Simplify right side
    8,431.75x = 54,755,448.20
  5. Step 5: Solve for x
    x = 54,755,448.20/8,431.75
  6. Step 6: Final answer
    x = 6,493.96

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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.