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Finding the Fourth Proportional to 11,680.76, 17,527.22 and 3,785.70

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Solution

The fourth proportional to 11,680.76, 17,527.22 and 3,785.70 is: 5,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.76 : 17,527.22 = 3,785.70 : x
  2. Step 2: Convert to fraction form
    11,680.76/17,527.22 = 3,785.70/x
  3. Step 3: Cross multiply
    11,680.76x = 17,527.22 × 3,785.70
  4. Step 4: Simplify right side
    11,680.76x = 66,352,796.75
  5. Step 5: Solve for x
    x = 66,352,796.75/11,680.76
  6. Step 6: Final answer
    x = 5,680.52

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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.