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Finding the Fourth Proportional to 7,964.01, 11,945.88 and 2,769.75

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Solution

The fourth proportional to 7,964.01, 11,945.88 and 2,769.75 is: 4,154.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.01 : 11,945.88 = 2,769.75 : x
  2. Step 2: Convert to fraction form
    7,964.01/11,945.88 = 2,769.75/x
  3. Step 3: Cross multiply
    7,964.01x = 11,945.88 × 2,769.75
  4. Step 4: Simplify right side
    7,964.01x = 33,087,101.13
  5. Step 5: Solve for x
    x = 33,087,101.13/7,964.01
  6. Step 6: Final answer
    x = 4,154.58

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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.