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Finding the Fourth Proportional to 7,640.80, 11,446.38 and 5,635.86

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Solution

The fourth proportional to 7,640.80, 11,446.38 and 5,635.86 is: 8,442.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.80 : 11,446.38 = 5,635.86 : x
  2. Step 2: Convert to fraction form
    7,640.80/11,446.38 = 5,635.86/x
  3. Step 3: Cross multiply
    7,640.80x = 11,446.38 × 5,635.86
  4. Step 4: Simplify right side
    7,640.80x = 64,510,195.19
  5. Step 5: Solve for x
    x = 64,510,195.19/7,640.80
  6. Step 6: Final answer
    x = 8,442.86

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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.