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Finding the Fourth Proportional to 7,967.65, 11,951.54 and 2,769.88

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Solution

The fourth proportional to 7,967.65, 11,951.54 and 2,769.88 is: 4,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.65 : 11,951.54 = 2,769.88 : x
  2. Step 2: Convert to fraction form
    7,967.65/11,951.54 = 2,769.88/x
  3. Step 3: Cross multiply
    7,967.65x = 11,951.54 × 2,769.88
  4. Step 4: Simplify right side
    7,967.65x = 33,104,331.62
  5. Step 5: Solve for x
    x = 33,104,331.62/7,967.65
  6. Step 6: Final answer
    x = 4,154.84

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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.