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Finding the Fourth Proportional to 7,846.40, 11,767.68 and 2,650.88

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Solution

The fourth proportional to 7,846.40, 11,767.68 and 2,650.88 is: 3,975.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.40 : 11,767.68 = 2,650.88 : x
  2. Step 2: Convert to fraction form
    7,846.40/11,767.68 = 2,650.88/x
  3. Step 3: Cross multiply
    7,846.40x = 11,767.68 × 2,650.88
  4. Step 4: Simplify right side
    7,846.40x = 31,194,707.56
  5. Step 5: Solve for x
    x = 31,194,707.56/7,846.40
  6. Step 6: Final answer
    x = 3,975.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.