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Finding the Fourth Proportional to 7,942.66, 11,890.59 and 6,957.41

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Solution

The fourth proportional to 7,942.66, 11,890.59 and 6,957.41 is: 10,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.66 : 11,890.59 = 6,957.41 : x
  2. Step 2: Convert to fraction form
    7,942.66/11,890.59 = 6,957.41/x
  3. Step 3: Cross multiply
    7,942.66x = 11,890.59 × 6,957.41
  4. Step 4: Simplify right side
    7,942.66x = 82,727,624.23
  5. Step 5: Solve for x
    x = 82,727,624.23/7,942.66
  6. Step 6: Final answer
    x = 10,415.60

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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.