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Finding the Fourth Proportional to 7,960.46, 11,871.19 and 6,977.82

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Solution

The fourth proportional to 7,960.46, 11,871.19 and 6,977.82 is: 10,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.46 : 11,871.19 = 6,977.82 : x
  2. Step 2: Convert to fraction form
    7,960.46/11,871.19 = 6,977.82/x
  3. Step 3: Cross multiply
    7,960.46x = 11,871.19 × 6,977.82
  4. Step 4: Simplify right side
    7,960.46x = 82,835,022.64
  5. Step 5: Solve for x
    x = 82,835,022.64/7,960.46
  6. Step 6: Final answer
    x = 10,405.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.