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Finding the Fourth Proportional to 7,964.68, 11,948.46 and 2,769.16

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Solution

The fourth proportional to 7,964.68, 11,948.46 and 2,769.16 is: 4,154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964.68 : 11,948.46 = 2,769.16 : x
  2. Step 2: Convert to fraction form
    7,964.68/11,948.46 = 2,769.16/x
  3. Step 3: Cross multiply
    7,964.68x = 11,948.46 × 2,769.16
  4. Step 4: Simplify right side
    7,964.68x = 33,087,197.49
  5. Step 5: Solve for x
    x = 33,087,197.49/7,964.68
  6. Step 6: Final answer
    x = 4,154.24

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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.