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Finding the Fourth Proportional to 7,951.65, 11,935.76 and 5,874

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Solution

The fourth proportional to 7,951.65, 11,935.76 and 5,874 is: 8,817.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.65 : 11,935.76 = 5,874 : x
  2. Step 2: Convert to fraction form
    7,951.65/11,935.76 = 5,874/x
  3. Step 3: Cross multiply
    7,951.65x = 11,935.76 × 5,874
  4. Step 4: Simplify right side
    7,951.65x = 70,110,624.87
  5. Step 5: Solve for x
    x = 70,110,624.87/7,951.65
  6. Step 6: Final answer
    x = 8,817.12

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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.