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Finding the Fourth Proportional to 7,732.40, 10,670.72 and 4,195.67

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Solution

The fourth proportional to 7,732.40, 10,670.72 and 4,195.67 is: 5,790.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.40 : 10,670.72 = 4,195.67 : x
  2. Step 2: Convert to fraction form
    7,732.40/10,670.72 = 4,195.67/x
  3. Step 3: Cross multiply
    7,732.40x = 10,670.72 × 4,195.67
  4. Step 4: Simplify right side
    7,732.40x = 44,770,745.45
  5. Step 5: Solve for x
    x = 44,770,745.45/7,732.40
  6. Step 6: Final answer
    x = 5,790.02

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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.