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Finding the Fourth Proportional to 7,717.33, 10,649.97 and 4,180.54

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Solution

The fourth proportional to 7,717.33, 10,649.97 and 4,180.54 is: 5,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.33 : 10,649.97 = 4,180.54 : x
  2. Step 2: Convert to fraction form
    7,717.33/10,649.97 = 4,180.54/x
  3. Step 3: Cross multiply
    7,717.33x = 10,649.97 × 4,180.54
  4. Step 4: Simplify right side
    7,717.33x = 44,522,623.22
  5. Step 5: Solve for x
    x = 44,522,623.22/7,717.33
  6. Step 6: Final answer
    x = 5,769.18

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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.