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Finding the Fourth Proportional to 11,705.75, 17,558.17 and 6,451.18

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Solution

The fourth proportional to 11,705.75, 17,558.17 and 6,451.18 is: 9,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.75 : 17,558.17 = 6,451.18 : x
  2. Step 2: Convert to fraction form
    11,705.75/17,558.17 = 6,451.18/x
  3. Step 3: Cross multiply
    11,705.75x = 17,558.17 × 6,451.18
  4. Step 4: Simplify right side
    11,705.75x = 113,270,953.88
  5. Step 5: Solve for x
    x = 113,270,953.88/11,705.75
  6. Step 6: Final answer
    x = 9,676.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.