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Finding the Fourth Proportional to 7,630.71, 11,444.27 and 2,082.73

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Solution

The fourth proportional to 7,630.71, 11,444.27 and 2,082.73 is: 3,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,630.71 : 11,444.27 = 2,082.73 : x
  2. Step 2: Convert to fraction form
    7,630.71/11,444.27 = 2,082.73/x
  3. Step 3: Cross multiply
    7,630.71x = 11,444.27 × 2,082.73
  4. Step 4: Simplify right side
    7,630.71x = 23,835,314.04
  5. Step 5: Solve for x
    x = 23,835,314.04/7,630.71
  6. Step 6: Final answer
    x = 3,123.61

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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.