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Finding the Fourth Proportional to 7,717.46, 10,650.06 and 4,180.65

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Solution

The fourth proportional to 7,717.46, 10,650.06 and 4,180.65 is: 5,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.46 : 10,650.06 = 4,180.65 : x
  2. Step 2: Convert to fraction form
    7,717.46/10,650.06 = 4,180.65/x
  3. Step 3: Cross multiply
    7,717.46x = 10,650.06 × 4,180.65
  4. Step 4: Simplify right side
    7,717.46x = 44,524,173.34
  5. Step 5: Solve for x
    x = 44,524,173.34/7,717.46
  6. Step 6: Final answer
    x = 5,769.28

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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.