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Finding the Fourth Proportional to 7,960.75, 11,944.17 and 2,966.18

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Solution

The fourth proportional to 7,960.75, 11,944.17 and 2,966.18 is: 4,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.75 : 11,944.17 = 2,966.18 : x
  2. Step 2: Convert to fraction form
    7,960.75/11,944.17 = 2,966.18/x
  3. Step 3: Cross multiply
    7,960.75x = 11,944.17 × 2,966.18
  4. Step 4: Simplify right side
    7,960.75x = 35,428,498.45
  5. Step 5: Solve for x
    x = 35,428,498.45/7,960.75
  6. Step 6: Final answer
    x = 4,450.40

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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.