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Finding the Fourth Proportional to 7,832.68, 11,738.04 and 5,631.04

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Solution

The fourth proportional to 7,832.68, 11,738.04 and 5,631.04 is: 8,438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.68 : 11,738.04 = 5,631.04 : x
  2. Step 2: Convert to fraction form
    7,832.68/11,738.04 = 5,631.04/x
  3. Step 3: Cross multiply
    7,832.68x = 11,738.04 × 5,631.04
  4. Step 4: Simplify right side
    7,832.68x = 66,097,372.76
  5. Step 5: Solve for x
    x = 66,097,372.76/7,832.68
  6. Step 6: Final answer
    x = 8,438.67

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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.