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Finding the Fourth Proportional to 7,717.98, 10,650.78 and 4,181.10

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Solution

The fourth proportional to 7,717.98, 10,650.78 and 4,181.10 is: 5,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.98 : 10,650.78 = 4,181.10 : x
  2. Step 2: Convert to fraction form
    7,717.98/10,650.78 = 4,181.10/x
  3. Step 3: Cross multiply
    7,717.98x = 10,650.78 × 4,181.10
  4. Step 4: Simplify right side
    7,717.98x = 44,531,976.26
  5. Step 5: Solve for x
    x = 44,531,976.26/7,717.98
  6. Step 6: Final answer
    x = 5,769.90

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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.