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Finding the Fourth Proportional to 7,744.46, 10,687.34 and 4,207.74

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Solution

The fourth proportional to 7,744.46, 10,687.34 and 4,207.74 is: 5,806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.46 : 10,687.34 = 4,207.74 : x
  2. Step 2: Convert to fraction form
    7,744.46/10,687.34 = 4,207.74/x
  3. Step 3: Cross multiply
    7,744.46x = 10,687.34 × 4,207.74
  4. Step 4: Simplify right side
    7,744.46x = 44,969,526.97
  5. Step 5: Solve for x
    x = 44,969,526.97/7,744.46
  6. Step 6: Final answer
    x = 5,806.67

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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.