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Finding the Fourth Proportional to 7,640.46, 11,442.24 and 4,343.56

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Solution

The fourth proportional to 7,640.46, 11,442.24 and 4,343.56 is: 6,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.46 : 11,442.24 = 4,343.56 : x
  2. Step 2: Convert to fraction form
    7,640.46/11,442.24 = 4,343.56/x
  3. Step 3: Cross multiply
    7,640.46x = 11,442.24 × 4,343.56
  4. Step 4: Simplify right side
    7,640.46x = 49,700,055.97
  5. Step 5: Solve for x
    x = 49,700,055.97/7,640.46
  6. Step 6: Final answer
    x = 6,504.85

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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.