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Finding the Fourth Proportional to 7,717.79, 10,650.54 and 4,181.02

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Solution

The fourth proportional to 7,717.79, 10,650.54 and 4,181.02 is: 5,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.79 : 10,650.54 = 4,181.02 : x
  2. Step 2: Convert to fraction form
    7,717.79/10,650.54 = 4,181.02/x
  3. Step 3: Cross multiply
    7,717.79x = 10,650.54 × 4,181.02
  4. Step 4: Simplify right side
    7,717.79x = 44,530,109.80
  5. Step 5: Solve for x
    x = 44,530,109.80/7,717.79
  6. Step 6: Final answer
    x = 5,769.80

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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.